428307264 has 560 divisors, whose sum is σ = 1681764480. Its totient is φ = 104509440.

The previous prime is 428307239. The next prime is 428307323. The reversal of 428307264 is 462703824.

It is a super-2 number, since 2×428307264² = 366894224790331392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

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 79 ways as a sum of consecutive naturals, for example, 11575854 + ... + 11575890.

Almost surely, 2^428307264 is an apocalyptic number.

428307264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840882240).

428307264 is an abundant number, since it is smaller than the sum of its proper divisors (1253457216).

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

428307264 is a wasteful number, since it uses less digits than its factorization.

428307264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 428307264 is about 20695.5856162613. The cubic root of 428307264 is about 753.7925022443.

The spelling of 428307264 in words is "four hundred twenty-eight million, three hundred seven thousand, two hundred sixty-four".