89415128 has 48 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 40040000.

The previous prime is 89415113. The next prime is 89415133. The reversal of 89415128 is 82151498.

It is a junction number, because it is equal to n+sod(n) for n = 89415091 and 89415100.

It is a congruent number.

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, 68078 + ... + 69378.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2^89415128 is an apocalyptic number.

89415128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89415128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

89415128 is an abundant number, since it is smaller than the sum of its proper divisors (97604152).

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

89415128 is a wasteful number, since it uses less digits than its factorization.

89415128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1385 counting only the distinct ones).

The product of its digits is 23040, while the sum is 38.

The square root of 89415128 is about 9455.9572757072. The cubic root of 89415128 is about 447.1676056040.

The spelling of 89415128 in words is "eighty-nine million, four hundred fifteen thousand, one hundred twenty-eight".