427951728 has 80 divisors (see below), whose sum is σ = 1231245600. Its totient is φ = 142318080.

The previous prime is 427951703. The next prime is 427951729. The reversal of 427951728 is 827159724.

It is a happy number.

427951728 is a `hidden beast` number, since 42 + 79 + 517 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427951729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244938 + ... + 246678.

It is an arithmetic number, because the mean of its divisors is an integer number (15390570).

Almost surely, 2^427951728 is an apocalyptic number.

427951728 is a gapful number since it is divisible by the number (48) 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 427951728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615622800).

427951728 is an abundant number, since it is smaller than the sum of its proper divisors (803293872).

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

427951728 is a wasteful number, since it uses less digits than its factorization.

427951728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2315 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 427951728 is about 20686.9941750850. The cubic root of 427951728 is about 753.5838712115.

The spelling of 427951728 in words is "four hundred twenty-seven million, nine hundred fifty-one thousand, seven hundred twenty-eight".