97428320 has 96 divisors (see below), whose sum is σ = 253272096. Its totient is φ = 35123200.

The previous prime is 97428311. The next prime is 97428349. The reversal of 97428320 is 2382479.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346580 + ... + 346860.

It is an arithmetic number, because the mean of its divisors is an integer number (2638251).

Almost surely, 2^97428320 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 97428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126636048).

97428320 is an abundant number, since it is smaller than the sum of its proper divisors (155843776).

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

97428320 is a wasteful number, since it uses less digits than its factorization.

97428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 97428320 is about 9870.5785038163. The cubic root of 97428320 is about 460.1453856772.

The spelling of 97428320 in words is "ninety-seven million, four hundred twenty-eight thousand, three hundred twenty".