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28523088 = 24321121637
BaseRepresentation
bin110110011001…
…1101001010000
31222200010022200
41230303221100
524300214323
62455203200
7464304456
oct154635120
958603280
1028523088
1115111900
129676500
135ba8989
143b069d6
152786443
hex1b33a50

28523088 has 90 divisors (see below), whose sum is σ = 87795162. Its totient is φ = 8638080.

The previous prime is 28523083. The next prime is 28523101. The reversal of 28523088 is 88032582.

It can be written as a sum of positive squares in only one way, i.e., 16744464 + 11778624 = 4092^2 + 3432^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28523081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16606 + ... + 18242.

Almost surely, 228523088 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 28523088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43897581).

28523088 is an abundant number, since it is smaller than the sum of its proper divisors (59272074).

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

28523088 is a wasteful number, since it uses less digits than its factorization.

28523088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 28523088 is about 5340.7010775740. The cubic root of 28523088 is about 305.5381987178.

The spelling of 28523088 in words is "twenty-eight million, five hundred twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1637 1936 2178 2904 3274 4356 4911 5808 6548 8712 9822 13096 14733 17424 18007 19644 26192 29466 36014 39288 54021 58932 72028 78576 108042 117864 144056 162063 198077 216084 235728 288112 324126 396154 432168 594231 648252 792308 864336 1188462 1296504 1584616 1782693 2376924 2593008 3169232 3565386 4753848 7130772 9507696 14261544 28523088