89372628 has 72 divisors (see below), whose sum is σ = 237758976. Its totient is φ = 28267200.

The previous prime is 89372617. The next prime is 89372629. The reversal of 89372628 is 82627398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89372629) 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, 58393 + ... + 59903.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^89372628 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 89372628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488).

89372628 is an abundant number, since it is smaller than the sum of its proper divisors (148386348).

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

89372628 is a wasteful number, since it uses less digits than its factorization.

89372628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1600 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 89372628 is about 9453.7097480301. The cubic root of 89372628 is about 447.0967464720.

It can be divided in two parts, 89372 and 628, that added together give a square (90000 = 300²).

The spelling of 89372628 in words is "eighty-nine million, three hundred seventy-two thousand, six hundred twenty-eight".