88152192 has 128 divisors (see below), whose sum is σ = 271728000. Its totient is φ = 28081152.

The previous prime is 88152187. The next prime is 88152217. The reversal of 88152192 is 29125188.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78934 + ... + 80042.

It is an arithmetic number, because the mean of its divisors is an integer number (2122875).

Almost surely, 2^88152192 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 88152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135864000).

88152192 is an abundant number, since it is smaller than the sum of its proper divisors (183575808).

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

88152192 is a wasteful number, since it uses less digits than its factorization.

88152192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1137 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 88152192 is about 9388.9398762587. The cubic root of 88152192 is about 445.0522885996.

The spelling of 88152192 in words is "eighty-eight million, one hundred fifty-two thousand, one hundred ninety-two".