97859328 has 144 divisors (see below), whose sum is σ = 302184960. Its totient is φ = 27537408.

The previous prime is 97859303. The next prime is 97859341. The reversal of 97859328 is 82395879.

It is a super-2 number, since 2×97859328² = 19152896153223168, which contains 22 as substring.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585901 + ... + 586067.

Almost surely, 2^97859328 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 97859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092480).

97859328 is an abundant number, since it is smaller than the sum of its proper divisors (204325632).

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

97859328 is a wasteful number, since it uses less digits than its factorization.

97859328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 97859328 is about 9892.3873761595. The cubic root of 97859328 is about 460.8229251712.

It can be divided in two parts, 978 and 59328, that added together give a palindrome (60306).

The spelling of 97859328 in words is "ninety-seven million, eight hundred fifty-nine thousand, three hundred twenty-eight".