128413824 has 256 divisors, whose sum is σ = 439464960. Its totient is φ = 32256000.

The previous prime is 128413819. The next prime is 128413877. The reversal of 128413824 is 428314821.

It is a super-2 number, since 2×128413824² = 32980220388605952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271374 + ... + 1271474.

It is an arithmetic number, because the mean of its divisors is an integer number (1716660).

Almost surely, 2^128413824 is an apocalyptic number.

128413824 is a gapful number since it is divisible by the number (14) 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 128413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219732480).

128413824 is an abundant number, since it is smaller than the sum of its proper divisors (311051136).

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

128413824 is a wasteful number, since it uses less digits than its factorization.

128413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 128413824 is about 11331.9823508511. The cubic root of 128413824 is about 504.5109456827.

The spelling of 128413824 in words is "one hundred twenty-eight million, four hundred thirteen thousand, eight hundred twenty-four".