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28578264 = 23311213757
BaseRepresentation
bin110110100000…
…1000111011000
31222202221000020
41231001013120
524304001024
62500310440
7464624361
oct155010730
958687006
1028578264
111514a300
1296a2420
135bc7b20
143b1cb68
152797979
hex1b411d8

28578264 has 96 divisors (see below), whose sum is σ = 84683760. Its totient is φ = 7983360.

The previous prime is 28578257. The next prime is 28578269. The reversal of 28578264 is 46287582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28578269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37374 + ... + 38130.

Almost surely, 228578264 is an apocalyptic number.

28578264 is a gapful number since it is divisible by the number (24) 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 28578264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42341880).

28578264 is an abundant number, since it is smaller than the sum of its proper divisors (56105496).

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

28578264 is a wasteful number, since it uses less digits than its factorization.

28578264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 786 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 28578264 is about 5345.8641958060. The cubic root of 28578264 is about 305.7350861989.

The spelling of 28578264 in words is "twenty-eight million, five hundred seventy-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 757 858 968 1144 1452 1514 1573 1716 2271 2904 3028 3146 3432 4542 4719 6056 6292 8327 9084 9438 9841 12584 16654 18168 18876 19682 24981 29523 33308 37752 39364 49962 59046 66616 78728 91597 99924 108251 118092 183194 199848 216502 236184 274791 324753 366388 433004 549582 649506 732776 866008 1099164 1190761 1299012 2198328 2381522 2598024 3572283 4763044 7144566 9526088 14289132 28578264