89384786928 has 200 divisors, whose sum is σ = 271300827600. Its totient is φ = 28372571136.

The previous prime is 89384786903. The next prime is 89384786941. The reversal of 89384786928 is 82968748398.

89384786928 is a `hidden beast` number, since 8 + 93 + 8 + 478 + 69 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2727343 + ... + 2759921.

It is an arithmetic number, because the mean of its divisors is an integer number (1356504138).

Almost surely, 2^89384786928 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 89384786928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135650413800).

89384786928 is an abundant number, since it is smaller than the sum of its proper divisors (181916040672).

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

89384786928 is a wasteful number, since it uses less digits than its factorization.

89384786928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32701 (or 32686 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 89384786928 in words is "eighty-nine billion, three hundred eighty-four million, seven hundred eighty-six thousand, nine hundred twenty-eight".