28427425920 has 384 divisors, whose sum is σ = 103625308800. Its totient is φ = 7166607360.

The previous prime is 28427425919. The next prime is 28427425937. The reversal of 28427425920 is 2952472482.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 11789515 + ... + 11791925.

It is an arithmetic number, because the mean of its divisors is an integer number (269857575).

Almost surely, 2^28427425920 is an apocalyptic number.

28427425920 is a gapful number since it is divisible by the number (20) 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 28427425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51812654400).

28427425920 is an abundant number, since it is smaller than the sum of its proper divisors (75197882880).

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

28427425920 is a wasteful number, since it uses less digits than its factorization.

28427425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28427425920 in words is "twenty-eight billion, four hundred twenty-seven million, four hundred twenty-five thousand, nine hundred twenty".