428175720 has 576 divisors, whose sum is σ = 1792627200. Its totient is φ = 91445760.

The previous prime is 428175703. The next prime is 428175743. The reversal of 428175720 is 27571824.

428175720 is a `hidden beast` number, since 4 + 2 + 81 + 7 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 13812105 + ... + 13812135.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^428175720 is an apocalyptic number.

428175720 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 428175720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600).

428175720 is an abundant number, since it is smaller than the sum of its proper divisors (1364451480).

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

428175720 is a wasteful number, since it uses less digits than its factorization.

428175720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

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

The square root of 428175720 is about 20692.4073031632. The cubic root of 428175720 is about 753.7153247581.

The spelling of 428175720 in words is "four hundred twenty-eight million, one hundred seventy-five thousand, seven hundred twenty".