429712128 has 360 divisors, whose sum is σ = 1442393568. Its totient is φ = 126517248.

The previous prime is 429712123. The next prime is 429712133. The reversal of 429712128 is 821217924.

It is an interprime number because it is at equal distance from previous prime (429712123) and next prime (429712133).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 429712092 and 429712101.

It is not an unprimeable number, because it can be changed into a prime (429712123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8107750 + ... + 8107802.

Almost surely, 2^429712128 is an apocalyptic number.

429712128 is a gapful number since it is divisible by the number (48) 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 429712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721196784).

429712128 is an abundant number, since it is smaller than the sum of its proper divisors (1012681440).

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

429712128 is a wasteful number, since it uses less digits than its factorization.

429712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 429712128 is about 20729.4989809209. The cubic root of 429712128 is about 754.6157587527.

The spelling of 429712128 in words is "four hundred twenty-nine million, seven hundred twelve thousand, one hundred twenty-eight".