428515956 has 72 divisors (see below), whose sum is σ = 1198387008. Its totient is φ = 128016000.

The previous prime is 428515943. The next prime is 428515973. The reversal of 428515956 is 659515824.

428515956 is a `hidden beast` number, since 4 + 2 + 8 + 51 + 595 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20496 + ... + 35736.

It is an arithmetic number, because the mean of its divisors is an integer number (16644264).

Almost surely, 2^428515956 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 428515956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599193504).

428515956 is an abundant number, since it is smaller than the sum of its proper divisors (769871052).

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

428515956 is a wasteful number, since it uses less digits than its factorization.

428515956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15328 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 428515956 is about 20700.6269470275. The cubic root of 428515956 is about 753.9149104119.

The spelling of 428515956 in words is "four hundred twenty-eight million, five hundred fifteen thousand, nine hundred fifty-six".