428015728 has 80 divisors (see below), whose sum is σ = 983437056. Its totient is φ = 176647680.

The previous prime is 428015713. The next prime is 428015747. The reversal of 428015728 is 827510824.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380575 + ... + 381697.

Almost surely, 2^428015728 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 428015728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491718528).

428015728 is an abundant number, since it is smaller than the sum of its proper divisors (555421328).

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

428015728 is a wasteful number, since it uses less digits than its factorization.

428015728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 428015728 is about 20688.5409828726. The cubic root of 428015728 is about 753.6214353887.

The spelling of 428015728 in words is "four hundred twenty-eight million, fifteen thousand, seven hundred twenty-eight".