89628120 has 96 divisors (see below), whose sum is σ = 302112720. Its totient is φ = 23898240.

The previous prime is 89628109. The next prime is 89628127. The reversal of 89628120 is 2182698.

89628120 is a `hidden beast` number, since 8 + 9 + 628 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89628127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5110 + ... + 14330.

Almost surely, 2^89628120 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 89628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151056360).

89628120 is an abundant number, since it is smaller than the sum of its proper divisors (212484600).

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

89628120 is a wasteful number, since it uses less digits than its factorization.

89628120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89628120 is about 9467.2128950394. The cubic root of 89628120 is about 447.5223837414.

The spelling of 89628120 in words is "eighty-nine million, six hundred twenty-eight thousand, one hundred twenty".