95789628 has 216 divisors, whose sum is σ = 300378624. Its totient is φ = 26438400.

The previous prime is 95789609. The next prime is 95789663. The reversal of 95789628 is 82698759.

It is a happy number.

95789628 is a `hidden beast` number, since 9 + 5 + 7 + 8 + 9 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3089973 + ... + 3090003.

Almost surely, 2^95789628 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 95789628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150189312).

95789628 is an abundant number, since it is smaller than the sum of its proper divisors (204588996).

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

95789628 is a wasteful number, since it uses less digits than its factorization.

95789628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 95789628 is about 9787.2175821323. The cubic root of 95789628 is about 457.5509859866.

The spelling of 95789628 in words is "ninety-five million, seven hundred eighty-nine thousand, six hundred twenty-eight".