89828970 has 128 divisors (see below), whose sum is σ = 276314112. Its totient is φ = 18144000.

The previous prime is 89828951. The next prime is 89828983. The reversal of 89828970 is 7982898.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84945 + ... + 85995.

It is an arithmetic number, because the mean of its divisors is an integer number (2158704).

Almost surely, 2^89828970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89828970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138157056).

89828970 is an abundant number, since it is smaller than the sum of its proper divisors (186485142).

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

89828970 is a wasteful number, since it uses less digits than its factorization.

89828970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 89828970 is about 9477.8146215254. The cubic root of 89828970 is about 447.8564225544.

The spelling of 89828970 in words is "eighty-nine million, eight hundred twenty-eight thousand, nine hundred seventy".