128429400 has 288 divisors, whose sum is σ = 460126800. Its totient is φ = 29568000.

The previous prime is 128429381. The next prime is 128429437. The reversal of 128429400 is 4924821.

It is a super-2 number, since 2×128429400² = 32988221568720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2105370 + ... + 2105430.

Almost surely, 2^128429400 is an apocalyptic number.

128429400 is a gapful number since it is divisible by the number (10) 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 128429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230063400).

128429400 is an abundant number, since it is smaller than the sum of its proper divisors (331697400).

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

128429400 is a wasteful number, since it uses less digits than its factorization.

128429400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 128429400 is about 11332.6695884068. The cubic root of 128429400 is about 504.5313431356.

The spelling of 128429400 in words is "one hundred twenty-eight million, four hundred twenty-nine thousand, four hundred".