429728064 has 112 divisors (see below), whose sum is σ = 1177235136. Its totient is φ = 138240000.

The previous prime is 429727973. The next prime is 429728071. The reversal of 429728064 is 460827924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711939 + ... + 1712189.

It is an arithmetic number, because the mean of its divisors is an integer number (10511028).

Almost surely, 2^429728064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588617568).

429728064 is an abundant number, since it is smaller than the sum of its proper divisors (747507072).

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

429728064 is a wasteful number, since it uses less digits than its factorization.

429728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 429728064 is about 20729.8833571248. The cubic root of 429728064 is about 754.6250870195.

The spelling of 429728064 in words is "four hundred twenty-nine million, seven hundred twenty-eight thousand, sixty-four".