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28531296 = 2532157631
BaseRepresentation
bin110110011010…
…1101001100000
31222200112120200
41230311221200
524301000141
62455305200
7464340423
oct154655140
958615520
1028531296
1115117a92
12967b200
135bac631
143b099ba
152788ab6
hex1b35a60

28531296 has 72 divisors (see below), whose sum is σ = 81782064. Its totient is φ = 9434880.

The previous prime is 28531291. The next prime is 28531297. The reversal of 28531296 is 69213582.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28531296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28531291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44901 + ... + 45531.

It is an arithmetic number, because the mean of its divisors is an integer number (1135862).

Almost surely, 228531296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28531296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40891032).

28531296 is an abundant number, since it is smaller than the sum of its proper divisors (53250768).

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

28531296 is a wasteful number, since it uses less digits than its factorization.

28531296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 793 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28531296 is about 5341.4694607383. The cubic root of 28531296 is about 305.5675038315.

The spelling of 28531296 in words is "twenty-eight million, five hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 631 942 1256 1262 1413 1884 1893 2512 2524 2826 3768 3786 5024 5048 5652 5679 7536 7572 10096 11304 11358 15072 15144 20192 22608 22716 30288 45216 45432 60576 90864 99067 181728 198134 297201 396268 594402 792536 891603 1188804 1585072 1783206 2377608 3170144 3566412 4755216 7132824 9510432 14265648 28531296