97457328 has 120 divisors (see below), whose sum is σ = 296137296. Its totient is φ = 29798400.

The previous prime is 97457317. The next prime is 97457341. The reversal of 97457328 is 82375479.

97457328 is a `hidden beast` number, since 9 + 74 + 573 + 2 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 99883 + ... + 100853.

Almost surely, 2^97457328 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 97457328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148068648).

97457328 is an abundant number, since it is smaller than the sum of its proper divisors (198679968).

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

97457328 is a wasteful number, since it uses less digits than its factorization.

97457328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1034 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 97457328 is about 9872.0478118777. The cubic root of 97457328 is about 460.1910485565.

The spelling of 97457328 in words is "ninety-seven million, four hundred fifty-seven thousand, three hundred twenty-eight".