98972928 has 216 divisors, whose sum is σ = 310998688. Its totient is φ = 31352832.

The previous prime is 98972921. The next prime is 98972941. The reversal of 98972928 is 82927989.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98972921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301675 + ... + 2301717.

Almost surely, 2^98972928 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 98972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155499344).

98972928 is an abundant number, since it is smaller than the sum of its proper divisors (212025760).

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

98972928 is an equidigital number, since it uses as much as digits as its factorization.

98972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 98972928 is about 9948.5138588635. The cubic root of 98972928 is about 462.5643297906.

The spelling of 98972928 in words is "ninety-eight million, nine hundred seventy-two thousand, nine hundred twenty-eight".