97128456 has 64 divisors (see below), whose sum is σ = 263884800. Its totient is φ = 29678400.

The previous prime is 97128433. The next prime is 97128469. The reversal of 97128456 is 65482179.

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, 10701 + ... + 17571.

It is an arithmetic number, because the mean of its divisors is an integer number (4123200).

Almost surely, 2^97128456 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 97128456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131942400).

97128456 is an abundant number, since it is smaller than the sum of its proper divisors (166756344).

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

97128456 is a wasteful number, since it uses less digits than its factorization.

97128456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 6926 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 97128456 is about 9855.3770095314. The cubic root of 97128456 is about 459.6728234304.

The spelling of 97128456 in words is "ninety-seven million, one hundred twenty-eight thousand, four hundred fifty-six".