428757120 has 384 divisors, whose sum is σ = 1655484480. Its totient is φ = 101376000.

The previous prime is 428757113. The next prime is 428757139. The reversal of 428757120 is 21757824.

428757120 is a `hidden beast` number, since 4 + 2 + 87 + 571 + 2 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4245070 + ... + 4245170.

Almost surely, 2^428757120 is an apocalyptic number.

428757120 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 428757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827742240).

428757120 is an abundant number, since it is smaller than the sum of its proper divisors (1226727360).

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

428757120 is a wasteful number, since it uses less digits than its factorization.

428757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 428757120 is about 20706.4511686576. The cubic root of 428757120 is about 754.0563155221.

The spelling of 428757120 in words is "four hundred twenty-eight million, seven hundred fifty-seven thousand, one hundred twenty".