428265750528 has 1080 divisors, whose sum is σ = 1624387588096. Its totient is φ = 110361968640.

The previous prime is 428265750457. The next prime is 428265750533. The reversal of 428265750528 is 825057562824.

428265750528 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 65 + 7 + 50 + 528 = 666.

It is a super-2 number, since 2×428265750528² (a number of 24 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 3372171201 + ... + 3372171327.

Almost surely, 2^428265750528 is an apocalyptic number.

428265750528 is a gapful number since it is divisible by the number (48) 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 428265750528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812193794048).

428265750528 is an abundant number, since it is smaller than the sum of its proper divisors (1196121837568).

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

428265750528 is an equidigital number, since it uses as much as digits as its factorization.

428265750528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 428265750528 in words is "four hundred twenty-eight billion, two hundred sixty-five million, seven hundred fifty thousand, five hundred twenty-eight".