128811456 has 84 divisors (see below), whose sum is σ = 371910864. Its totient is φ = 42624000.

The previous prime is 128811451. The next prime is 128811503. The reversal of 128811456 is 654118821.

128811456 is a `hidden beast` number, since 128 + 81 + 1 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 128811456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128811451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86236 + ... + 87716.

Almost surely, 2^128811456 is an apocalyptic number.

128811456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185955432).

128811456 is an abundant number, since it is smaller than the sum of its proper divisors (243099408).

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

128811456 is a wasteful number, since it uses less digits than its factorization.

128811456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1637 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 128811456 is about 11349.5134697484. The cubic root of 128811456 is about 505.0311466591.

The spelling of 128811456 in words is "one hundred twenty-eight million, eight hundred eleven thousand, four hundred fifty-six".