428452164 has 72 divisors (see below), whose sum is σ = 1240232448. Its totient is φ = 122169600.

The previous prime is 428452163. The next prime is 428452181. The reversal of 428452164 is 461254824.

428452164 is a `hidden beast` number, since 42 + 8 + 452 + 164 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (428452163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151564 + ... + 154364.

Almost surely, 2^428452164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428452164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620116224).

428452164 is an abundant number, since it is smaller than the sum of its proper divisors (811780284).

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

428452164 is a wasteful number, since it uses less digits than its factorization.

428452164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3420 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 428452164 is about 20699.0860667808. The cubic root of 428452164 is about 753.8774974708.

The spelling of 428452164 in words is "four hundred twenty-eight million, four hundred fifty-two thousand, one hundred sixty-four".