89828352 has 198 divisors, whose sum is σ = 283886148. Its totient is φ = 28366848.

The previous prime is 89828351. The next prime is 89828353. The reversal of 89828352 is 25382898.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (89828351) and next prime (89828353).

Its product of digits (276480) is a multiple of the sum of its prime divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 89828298 and 89828307.

It is not an unprimeable number, because it can be changed into a prime (89828351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4727799 + ... + 4727817.

Almost surely, 2^89828352 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 89828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141943074).

89828352 is an abundant number, since it is smaller than the sum of its proper divisors (194057796).

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

89828352 is an equidigital number, since it uses as much as digits as its factorization.

89828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 24 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 89828352 is about 9477.7820190169. The cubic root of 89828352 is about 447.8553955068.

The spelling of 89828352 in words is "eighty-nine million, eight hundred twenty-eight thousand, three hundred fifty-two".