89779379328 has 96 divisors (see below), whose sum is σ = 258447756060. Its totient is φ = 29915080704.

The previous prime is 89779379317. The next prime is 89779379357. The reversal of 89779379328 is 82397397798.

89779379328 is a `hidden beast` number, since 89 + 77 + 93 + 79 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85774008384 + 4005370944 = 292872^2 + 63288^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3347026 + ... + 3373742.

Almost surely, 2^89779379328 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 89779379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129223878030).

89779379328 is an abundant number, since it is smaller than the sum of its proper divisors (168668376732).

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

89779379328 is a wasteful number, since it uses less digits than its factorization.

89779379328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29654 (or 29639 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The spelling of 89779379328 in words is "eighty-nine billion, seven hundred seventy-nine million, three hundred seventy-nine thousand, three hundred twenty-eight".