427508928000 has 3360 divisors, whose sum is σ = 2147578269408. Its totient is φ = 83607552000.

The previous prime is 427508927977. The next prime is 427508928001. The reversal of 427508928000 is 829805724.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427508928001) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 25147583992 + ... + 25147584008.

Almost surely, 2^427508928000 is an apocalyptic number.

427508928000 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 427508928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073789134704).

427508928000 is an abundant number, since it is smaller than the sum of its proper divisors (1720069341408).

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

427508928000 is an equidigital number, since it uses as much as digits as its factorization.

427508928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 427508928000 in words is "four hundred twenty-seven billion, five hundred eight million, nine hundred twenty-eight thousand".