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88128738 = 23229197857
BaseRepresentation
bin1010100000010…
…11110011100010
320010211101220100
411100023303202
5140030104423
612424523230
72120040045
oct520136342
9203741810
1088128738
1145823475
1225620516
13153482a9
14b9c0c5c
157b0c343
hex540bce2

88128738 has 48 divisors (see below), whose sum is σ = 198764280. Its totient is φ = 28186368.

The previous prime is 88128701. The next prime is 88128743. The reversal of 88128738 is 83782188.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84768849 + 3359889 = 9207^2 + 1833^2 .

It is a super-2 number, since 2×881287382 = 15533348922945288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88128693 and 88128702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102406 + ... + 103262.

Almost surely, 288128738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88128738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99382140).

88128738 is an abundant number, since it is smaller than the sum of its proper divisors (110635542).

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

88128738 is a wasteful number, since it uses less digits than its factorization.

88128738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1088 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 88128738 is about 9387.6907703652. The cubic root of 88128738 is about 445.0128145113.

The spelling of 88128738 in words is "eighty-eight million, one hundred twenty-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 197 261 394 522 591 857 1182 1714 1773 2571 3546 5142 5713 7713 11426 15426 17139 24853 34278 49706 51417 74559 102834 149118 168829 223677 337658 447354 506487 1012974 1519461 3038922 4896041 9792082 14688123 29376246 44064369 88128738