95201128 has 32 divisors (see below), whose sum is σ = 195953760. Its totient is φ = 43001280.

The previous prime is 95201087. The next prime is 95201147. The reversal of 95201128 is 82110259.

It is a junction number, because it is equal to n+sod(n) for n = 95201096 and 95201105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11026 + ... + 17662.

It is an arithmetic number, because the mean of its divisors is an integer number (6123555).

Almost surely, 2^95201128 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 95201128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97976880).

95201128 is an abundant number, since it is smaller than the sum of its proper divisors (100752632).

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

95201128 is a wasteful number, since it uses less digits than its factorization.

95201128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 95201128 is about 9757.1065383135. The cubic root of 95201128 is about 456.6120462020.

It can be divided in two parts, 9520 and 1128, that added together give a cube (10648 = 22³).

The spelling of 95201128 in words is "ninety-five million, two hundred one thousand, one hundred twenty-eight".