428148864 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 113541120.

The previous prime is 428148863. The next prime is 428148883. The reversal of 428148864 is 468841824.

428148864 is a `hidden beast` number, since 428 + 148 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×428148864² = 366622899488980992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (428148863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3788872 + ... + 3788984.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^428148864 is an apocalyptic number.

428148864 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 428148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

428148864 is an abundant number, since it is smaller than the sum of its proper divisors (1095584256).

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

428148864 is a wasteful number, since it uses less digits than its factorization.

428148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 428148864 is about 20691.7583593082. The cubic root of 428148864 is about 753.6995662731.

The spelling of 428148864 in words is "four hundred twenty-eight million, one hundred forty-eight thousand, eight hundred sixty-four".