97871328 has 120 divisors (see below), whose sum is σ = 293028120. Its totient is φ = 32037120.

The previous prime is 97871303. The next prime is 97871339. The reversal of 97871328 is 82317879.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157803 + ... + 158421.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^97871328 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 97871328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146514060).

97871328 is an abundant number, since it is smaller than the sum of its proper divisors (195156792).

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

97871328 is a wasteful number, since it uses less digits than its factorization.

97871328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 685 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 97871328 is about 9892.9938845630. The cubic root of 97871328 is about 460.8417605382.

The spelling of 97871328 in words is "ninety-seven million, eight hundred seventy-one thousand, three hundred twenty-eight".