428978592 has 336 divisors, whose sum is σ = 1507185792. Its totient is φ = 117573120.

The previous prime is 428978579. The next prime is 428978609. The reversal of 428978592 is 295879824.

428978592 is a `hidden beast` number, since 42 + 8 + 9 + 7 + 8 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6041917 + ... + 6041987.

It is an arithmetic number, because the mean of its divisors is an integer number (4485672).

Almost surely, 2^428978592 is an apocalyptic number.

428978592 is a gapful number since it is divisible by the number (42) 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 428978592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753592896).

428978592 is an abundant number, since it is smaller than the sum of its proper divisors (1078207200).

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

428978592 is an equidigital number, since it uses as much as digits as its factorization.

428978592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 428978592 is about 20711.7983767707. The cubic root of 428978592 is about 754.1861276434.

The spelling of 428978592 in words is "four hundred twenty-eight million, nine hundred seventy-eight thousand, five hundred ninety-two".