128898432 has 256 divisors, whose sum is σ = 434112000. Its totient is φ = 37324800.

The previous prime is 128898431. The next prime is 128898439. The reversal of 128898432 is 234898821.

128898432 is a `hidden beast` number, since 128 + 8 + 98 + 432 = 666.

It is a super-2 number, since 2×128898432² = 33229611544117248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128898431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853557 + ... + 853707.

It is an arithmetic number, because the mean of its divisors is an integer number (1695750).

Almost surely, 2^128898432 is an apocalyptic number.

128898432 is a gapful number since it is divisible by the number (12) 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 128898432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217056000).

128898432 is an abundant number, since it is smaller than the sum of its proper divisors (305213568).

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

128898432 is a wasteful number, since it uses less digits than its factorization.

128898432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 128898432 is about 11353.3445292566. The cubic root of 128898432 is about 505.1447900353.

It can be divided in two parts, 12889 and 8432, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 128898432 in words is "one hundred twenty-eight million, eight hundred ninety-eight thousand, four hundred thirty-two".