428552716032 has 1008 divisors, whose sum is σ = 1621414609920. Its totient is φ = 110099202048.

The previous prime is 428552716013. The next prime is 428552716051. The reversal of 428552716032 is 230617255824.

428552716032 is a `hidden beast` number, since 4 + 2 + 8 + 552 + 7 + 1 + 60 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (428552716013) and next prime (428552716051).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 510789469 + ... + 510790307.

It is an arithmetic number, because the mean of its divisors is an integer number (1608546240).

Almost surely, 2^428552716032 is an apocalyptic number.

428552716032 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 428552716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810707304960).

428552716032 is an abundant number, since it is smaller than the sum of its proper divisors (1192861893888).

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

428552716032 is an equidigital number, since it uses as much as digits as its factorization.

428552716032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 428552716032 in words is "four hundred twenty-eight billion, five hundred fifty-two million, seven hundred sixteen thousand, thirty-two".