428993964 has 72 divisors (see below), whose sum is σ = 1241499168. Its totient is φ = 122353920.

The previous prime is 428993959. The next prime is 428993969. The reversal of 428993964 is 469399824.

It is an interprime number because it is at equal distance from previous prime (428993959) and next prime (428993969).

It is a super-2 number, since 2×428993964² = 368071642296866592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428993964.

It is not an unprimeable number, because it can be changed into a prime (428993969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190654 + ... + 192890.

It is an arithmetic number, because the mean of its divisors is an integer number (17243044).

Almost surely, 2^428993964 is an apocalyptic number.

It is an amenable number.

428993964 is an abundant number, since it is smaller than the sum of its proper divisors (812505204).

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

428993964 is a wasteful number, since it uses less digits than its factorization.

428993964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3010 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 428993964 is about 20712.1694662824. The cubic root of 428993964 is about 754.1951360266.

The spelling of 428993964 in words is "four hundred twenty-eight million, nine hundred ninety-three thousand, nine hundred sixty-four".