97028928 has 168 divisors, whose sum is σ = 306214272. Its totient is φ = 30357504.

The previous prime is 97028923. The next prime is 97028933. The reversal of 97028928 is 82982079.

It is an interprime number because it is at equal distance from previous prime (97028923) and next prime (97028933).

It is a super-2 number, since 2×97028928² = 18829225737658368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97028923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264201 + ... + 264567.

It is an arithmetic number, because the mean of its divisors is an integer number (1822704).

Almost surely, 2^97028928 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 97028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153107136).

97028928 is an abundant number, since it is smaller than the sum of its proper divisors (209185344).

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

97028928 is a wasteful number, since it uses less digits than its factorization.

97028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

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

The square root of 97028928 is about 9850.3262890120. The cubic root of 97028928 is about 459.5157601130.

The spelling of 97028928 in words is "ninety-seven million, twenty-eight thousand, nine hundred twenty-eight".