428110592000 has 1536 divisors, whose sum is σ = 1483616010240. Its totient is φ = 119380377600.

The previous prime is 428110591969. The next prime is 428110592029. The reversal of 428110592000 is 295011824.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9108735977 + ... + 9108736023.

It is an arithmetic number, because the mean of its divisors is an integer number (965895840).

Almost surely, 2^428110592000 is an apocalyptic number.

428110592000 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 428110592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741808005120).

428110592000 is an abundant number, since it is smaller than the sum of its proper divisors (1055505418240).

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

428110592000 is a wasteful number, since it uses less digits than its factorization.

428110592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 428110592000 in words is "four hundred twenty-eight billion, one hundred ten million, five hundred ninety-two thousand".