128019456 has 132 divisors (see below), whose sum is σ = 383198400. Its totient is φ = 41115648.

The previous prime is 128019407. The next prime is 128019467. The reversal of 128019456 is 654910821.

It is a super-2 number, since 2×128019456² = 32777962229071872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 128019456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267025 + ... + 267503.

Almost surely, 2^128019456 is an apocalyptic number.

128019456 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 128019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191599200).

128019456 is an abundant number, since it is smaller than the sum of its proper divisors (255178944).

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

128019456 is a wasteful number, since it uses less digits than its factorization.

128019456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 128019456 is about 11314.5683081592. The cubic root of 128019456 is about 503.9939530643.

It can be divided in two parts, 1280 and 19456, that added together give a 4-th power (20736 = 12⁴).

The spelling of 128019456 in words is "one hundred twenty-eight million, nineteen thousand, four hundred fifty-six".