128892456 has 192 divisors, whose sum is σ = 442990080. Its totient is φ = 32883840.

The previous prime is 128892431. The next prime is 128892473. The reversal of 128892456 is 654298821.

It is a super-2 number, since 2×128892456² = 33226530427423872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371275 + ... + 371621.

It is an arithmetic number, because the mean of its divisors is an integer number (2307240).

Almost surely, 2^128892456 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 128892456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221495040).

128892456 is an abundant number, since it is smaller than the sum of its proper divisors (314097624).

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

128892456 is a wasteful number, since it uses less digits than its factorization.

128892456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 437 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 128892456 is about 11353.0813438467. The cubic root of 128892456 is about 505.1369833929.

The spelling of 128892456 in words is "one hundred twenty-eight million, eight hundred ninety-two thousand, four hundred fifty-six".