428426729902080 has 3328 divisors, whose sum is σ = 1909781162956800. Its totient is φ = 89821456367616.

The previous prime is 428426729902033. The next prime is 428426729902081. The reversal of 428426729902080 is 80209927624824.

428426729902080 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 267 + 299 + 0 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 428426729901999 and 428426729902017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428426729902081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1047498116916 + ... + 1047498117324.

Almost surely, 2^{428426729902080} is an apocalyptic number.

428426729902080 is a gapful number since it is divisible by the number (40) 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 428426729902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954890581478400).

428426729902080 is an abundant number, since it is smaller than the sum of its proper divisors (1481354433054720).

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

428426729902080 is an equidigital number, since it uses as much as digits as its factorization.

428426729902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 428426729902080 in words is "four hundred twenty-eight trillion, four hundred twenty-six billion, seven hundred twenty-nine million, nine hundred two thousand, eighty".