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28457088 = 273116737
BaseRepresentation
bin110110010001…
…1100010000000
31222112202210020
41230203202000
524241111323
62453533440
7463611162
oct154434200
958482706
1028457088
1115077260
129644280
135b8491a
143aca932
152771ae3
hex1b23880

28457088 has 64 divisors (see below), whose sum is σ = 82473120. Its totient is φ = 8622080.

The previous prime is 28457071. The next prime is 28457089. The reversal of 28457088 is 88075482.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28457089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 7592.

Almost surely, 228457088 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 28457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41236560).

28457088 is an abundant number, since it is smaller than the sum of its proper divisors (54016032).

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

28457088 is a wasteful number, since it uses less digits than its factorization.

28457088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 28457088 is about 5334.5185349758. The cubic root of 28457088 is about 305.3023535794.

The spelling of 28457088 in words is "twenty-eight million, four hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 6737 13474 20211 26948 40422 53896 74107 80844 107792 148214 161688 215584 222321 296428 323376 431168 444642 592856 646752 862336 889284 1185712 1293504 1778568 2371424 2587008 3557136 4742848 7114272 9485696 14228544 28457088