428265684 has 192 divisors, whose sum is σ = 1413888000. Its totient is φ = 111132000.

The previous prime is 428265679. The next prime is 428265697. The reversal of 428265684 is 486562824.

428265684 is a `hidden beast` number, since 4 + 2 + 82 + 6 + 568 + 4 = 666.

It is a super-2 number, since 2×428265684² = 366822992183975712, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 406959 + ... + 408009.

It is an arithmetic number, because the mean of its divisors is an integer number (7364000).

Almost surely, 2^428265684 is an apocalyptic number.

428265684 is a gapful number since it is divisible by the number (44) 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 428265684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706944000).

428265684 is an abundant number, since it is smaller than the sum of its proper divisors (985622316).

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

428265684 is a wasteful number, since it uses less digits than its factorization.

428265684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1074 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 428265684 is about 20694.5810298252. The cubic root of 428265684 is about 753.7681087702.

The spelling of 428265684 in words is "four hundred twenty-eight million, two hundred sixty-five thousand, six hundred eighty-four".