428571360 has 576 divisors, whose sum is σ = 1842632064. Its totient is φ = 88473600.

The previous prime is 428571349. The next prime is 428571379. The reversal of 428571360 is 63175824.

428571360 is a `hidden beast` number, since 4 + 28 + 571 + 3 + 60 = 666.

It is a super-2 number, since 2×428571360² = 367346821224499200, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7025730 + ... + 7025790.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^428571360 is an apocalyptic number.

428571360 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 428571360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921316032).

428571360 is an abundant number, since it is smaller than the sum of its proper divisors (1414060704).

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

428571360 is a wasteful number, since it uses less digits than its factorization.

428571360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 428571360 is about 20701.9651241132. The cubic root of 428571360 is about 753.9474009186.

428571360 divided by its sum of digits (36) gives a triangular number (11904760 = T₄₈₇₉).

The spelling of 428571360 in words is "four hundred twenty-eight million, five hundred seventy-one thousand, three hundred sixty".