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28757088 = 2532313221
BaseRepresentation
bin110110110110…
…0110001100000
32000010000022100
41231230301200
524330211323
62504210400
7466300623
oct155546140
960100270
1028757088
1115261698
129769a00
135c5b339
143b67dba
1527d0943
hex1b6cc60

28757088 has 72 divisors (see below), whose sum is σ = 84442176. Its totient is φ = 9273600.

The previous prime is 28757087. The next prime is 28757101. The reversal of 28757088 is 88075782.

It is a happy number.

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

It is a super-2 number, since 2×287570882 = 1653940220479488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28757083) 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, 7318 + ... + 10538.

It is an arithmetic number, because the mean of its divisors is an integer number (1172808).

Almost surely, 228757088 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 28757088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42221088).

28757088 is an abundant number, since it is smaller than the sum of its proper divisors (55685088).

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

28757088 is a wasteful number, since it uses less digits than its factorization.

28757088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 28757088 is about 5362.5635660568. The cubic root of 28757088 is about 306.3714571416.

It can be divided in two parts, 287 and 57088, that added together give a palindrome (57375).

The spelling of 28757088 in words is "twenty-eight million, seven hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 3221 4464 6442 8928 9663 12884 19326 25768 28989 38652 51536 57978 77304 99851 103072 115956 154608 199702 231912 299553 309216 399404 463824 599106 798808 898659 927648 1198212 1597616 1797318 2396424 3195232 3594636 4792848 7189272 9585696 14378544 28757088