428954625 has 96 divisors (see below), whose sum is σ = 893617920. Its totient is φ = 195648000.

The previous prime is 428954611. The next prime is 428954629. The reversal of 428954625 is 526459824.

428954625 is a `hidden beast` number, since 4 + 2 + 89 + 546 + 25 = 666.

It is not a de Polignac number, because 428954625 - 2⁵ = 428954593 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (428954629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209356 + ... + 211394.

It is an arithmetic number, because the mean of its divisors is an integer number (9308520).

Almost surely, 2^428954625 is an apocalyptic number.

428954625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428954625 is an abundant number, since it is smaller than the sum of its proper divisors (464663295).

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

428954625 is a wasteful number, since it uses less digits than its factorization.

428954625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2075 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 428954625 is about 20711.2197854207. The cubic root of 428954625 is about 754.1720819421.

The spelling of 428954625 in words is "four hundred twenty-eight million, nine hundred fifty-four thousand, six hundred twenty-five".