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28450080 = 2532523859
BaseRepresentation
bin110110010000…
…1110100100000
31222112102011200
41230201310200
524240400310
62453441200
7463551561
oct154416440
958472150
1028450080
1115071a6a
129640200
135b81689
143ac8168
15276e9c0
hex1b21d20

28450080 has 144 divisors (see below), whose sum is σ = 101424960. Its totient is φ = 7248384.

The previous prime is 28450069. The next prime is 28450141. The reversal of 28450080 is 8005482.

28450080 is a `hidden beast` number, since 2 + 84 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32691 + ... + 33549.

It is an arithmetic number, because the mean of its divisors is an integer number (704340).

Almost surely, 228450080 is an apocalyptic number.

28450080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50712480).

28450080 is an abundant number, since it is smaller than the sum of its proper divisors (72974880).

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

28450080 is a wasteful number, since it uses less digits than its factorization.

28450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28450080 is about 5333.8616405002. The cubic root of 28450080 is about 305.2772897060.

The spelling of 28450080 in words is "twenty-eight million, four hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 859 920 1035 1104 1380 1440 1656 1718 1840 2070 2208 2577 2760 3312 3436 3680 4140 4295 5154 5520 6624 6872 7731 8280 8590 10308 11040 12885 13744 15462 16560 17180 19757 20616 25770 27488 30924 33120 34360 38655 39514 41232 51540 59271 61848 68720 77310 79028 82464 98785 103080 118542 123696 137440 154620 158056 177813 197570 206160 237084 247392 296355 309240 316112 355626 395140 412320 474168 592710 618480 632224 711252 790280 889065 948336 1185420 1236960 1422504 1580560 1778130 1896672 2370840 2845008 3161120 3556260 4741680 5690016 7112520 9483360 14225040 28450080