97828920 has 96 divisors (see below), whose sum is σ = 363373920. Its totient is φ = 22360320.

The previous prime is 97828909. The next prime is 97828957. The reversal of 97828920 is 2982879.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 16891 + ... + 21930.

It is an arithmetic number, because the mean of its divisors is an integer number (3785145).

Almost surely, 2^97828920 is an apocalyptic number.

97828920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97828920 is an abundant number, since it is smaller than the sum of its proper divisors (265545000).

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

97828920 is a wasteful number, since it uses less digits than its factorization.

97828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845 (or 38838 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97828920 is about 9890.8503173387. The cubic root of 97828920 is about 460.7751894555.

The spelling of 97828920 in words is "ninety-seven million, eight hundred twenty-eight thousand, nine hundred twenty".