427728000 has 512 divisors, whose sum is σ = 1731225600. Its totient is φ = 91238400.

The previous prime is 427727977. The next prime is 427728053. The reversal of 427728000 is 827724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6383967 + ... + 6384033.

It is an arithmetic number, because the mean of its divisors is an integer number (3381300).

Almost surely, 2^427728000 is an apocalyptic number.

427728000 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 427728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865612800).

427728000 is an abundant number, since it is smaller than the sum of its proper divisors (1303497600).

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

427728000 is a wasteful number, since it uses less digits than its factorization.

427728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 427728000 is about 20681.5860126829. The cubic root of 427728000 is about 753.4525268018.

The spelling of 427728000 in words is "four hundred twenty-seven million, seven hundred twenty-eight thousand".