428836464 has 80 divisors (see below), whose sum is σ = 1406775040. Its totient is φ = 122523840.

The previous prime is 428836451. The next prime is 428836477. The reversal of 428836464 is 464638824.

428836464 is a `hidden beast` number, since 4 + 288 + 364 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (428836451) and next prime (428836477).

It is a nude number because it is divisible by every one of its digits.

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, 67882 + ... + 73929.

It is an arithmetic number, because the mean of its divisors is an integer number (17584688).

Almost surely, 2^428836464 is an apocalyptic number.

It is an amenable number.

428836464 is an abundant number, since it is smaller than the sum of its proper divisors (977938576).

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

428836464 is a wasteful number, since it uses less digits than its factorization.

428836464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141835 (or 141823 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 428836464 is about 20708.3670046675. The cubic root of 428836464 is about 754.1028268228.

The spelling of 428836464 in words is "four hundred twenty-eight million, eight hundred thirty-six thousand, four hundred sixty-four".