428153608960 has 288 divisors, whose sum is σ = 1288421697024. Its totient is φ = 132427776000.

The previous prime is 428153608931. The next prime is 428153608997. The reversal of 428153608960 is 69806351824.

It is a junction number, because it is equal to n+sod(n) for n = 428153608898 and 428153608907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12894780 + ... + 12927940.

It is an arithmetic number, because the mean of its divisors is an integer number (4473686448).

Almost surely, 2^428153608960 is an apocalyptic number.

428153608960 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 428153608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644210848512).

428153608960 is an abundant number, since it is smaller than the sum of its proper divisors (860268088064).

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

428153608960 is a wasteful number, since it uses less digits than its factorization.

428153608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33331 (or 33317 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 428153608960 in words is "four hundred twenty-eight billion, one hundred fifty-three million, six hundred eight thousand, nine hundred sixty".