95008032 has 192 divisors, whose sum is σ = 330946560. Its totient is φ = 25926912.

The previous prime is 95008013. The next prime is 95008033. The reversal of 95008032 is 23080059.

It is a super-2 number, since 2×95008032² = 18053052289026048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 95007987 and 95008005.

It is not an unprimeable number, because it can be changed into a prime (95008033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138763 + ... + 139445.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^95008032 is an apocalyptic number.

95008032 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

95008032 is an abundant number, since it is smaller than the sum of its proper divisors (235938528).

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

95008032 is a wasteful number, since it uses less digits than its factorization.

95008032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95008032 is about 9747.2063690065. The cubic root of 95008032 is about 456.3031225566.

The spelling of 95008032 in words is "ninety-five million, eight thousand, thirty-two".