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28951022500 = 2254412832
BaseRepresentation
bin11010111101100111…
…011000101110100100
32202201122110022202121
4122331213120232210
5433242430210000
621144440515324
72043301426261
oct327547305644
982648408677
1028951022500
1111307108784
12573b77bb44
132964c6a05a
141588dcc268
15b469c0b1a
hex6bd9d8ba4

28951022500 has 135 divisors (see below), whose sum is σ = 65683156693. Its totient is φ = 11161840000.

The previous prime is 28951022473. The next prime is 28951022521. The reversal of 28951022500 is 522015982.

It is a happy number.

The square root of 28951022500 is 170150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 28838153124 + 112869376 = 169818^2 + 10624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 348807459 + ... + 348807541.

Almost surely, 228951022500 is an apocalyptic number.

28951022500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28951022500 is the 170150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28951022500

28951022500 is an abundant number, since it is smaller than the sum of its proper divisors (36732134193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28951022500 is an frugal number, since it uses more digits than its factorization.

28951022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

Multiplying 28951022500 by its product of nonzero digits (14400), we get a square (416894724000000 = 204180002).

The spelling of 28951022500 in words is "twenty-eight billion, nine hundred fifty-one million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 83 100 125 164 166 205 250 332 410 415 500 625 820 830 1025 1250 1660 1681 2050 2075 2500 3362 3403 4100 4150 5125 6724 6806 6889 8300 8405 10250 10375 13612 13778 16810 17015 20500 20750 25625 27556 33620 34030 34445 41500 42025 51250 51875 68060 68890 84050 85075 102500 103750 137780 139523 168100 170150 172225 207500 210125 279046 282449 340300 344450 420250 425375 558092 564898 688900 697615 840500 850750 861125 1050625 1129796 1395230 1412245 1701500 1722250 2101250 2126875 2790460 2824490 3444500 3488075 4202500 4253750 4305625 5648980 6976150 7061225 8507500 8611250 11580409 13952300 14122450 17222500 17440375 23160818 28244900 34880750 35306125 46321636 57902045 69761500 70612250 87201875 115804090 141224500 174403750 176530625 231608180 289510225 348807500 353061250 579020450 706122500 1158040900 1447551125 2895102250 5790204500 7237755625 14475511250 28951022500