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28451360 = 2557219191
BaseRepresentation
bin110110010001…
…0001000100000
31222112110221002
41230202020200
524240420420
62453451132
7463555400
oct154421040
958473832
1028451360
1115072a23
129640aa8
135b82132
143ac8800
152770075
hex1b22220

28451360 has 144 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 9192960.

The previous prime is 28451359. The next prime is 28451363. The reversal of 28451360 is 6315482.

It is not an unprimeable number, because it can be changed into a prime (28451363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148865 + ... + 149055.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 228451360 is an apocalyptic number.

28451360 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 28451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

28451360 is an abundant number, since it is smaller than the sum of its proper divisors (54285280).

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

28451360 is a wasteful number, since it uses less digits than its factorization.

28451360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 28451360 is about 5333.9816272649. The cubic root of 28451360 is about 305.2818678897.

The spelling of 28451360 in words is "twenty-eight million, four hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 98 112 133 140 152 160 190 191 196 224 245 266 280 304 380 382 392 490 532 560 608 665 760 764 784 931 955 980 1064 1120 1330 1337 1520 1528 1568 1862 1910 1960 2128 2660 2674 3040 3056 3629 3724 3820 3920 4256 4655 5320 5348 6112 6685 7258 7448 7640 7840 9310 9359 10640 10696 13370 14516 14896 15280 18145 18620 18718 21280 21392 25403 26740 29032 29792 30560 36290 37240 37436 42784 46795 50806 53480 58064 72580 74480 74872 93590 101612 106960 116128 127015 145160 148960 149744 177821 187180 203224 213920 254030 290320 299488 355642 374360 406448 508060 580640 711284 748720 812896 889105 1016120 1422568 1497440 1778210 2032240 2845136 3556420 4064480 5690272 7112840 14225680 28451360