428961672 has 24 divisors (see below), whose sum is σ = 1161771390. Its totient is φ = 142987200.

The previous prime is 428961667. The next prime is 428961713. The reversal of 428961672 is 276169824.

It is a happy number.

428961672 is a `hidden beast` number, since 4 + 28 + 9 + 616 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350213796 + 78747876 = 18714^2 + 8874^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2978829 + ... + 2978972.

Almost surely, 2^428961672 is an apocalyptic number.

It is an amenable number.

428961672 is an abundant number, since it is smaller than the sum of its proper divisors (732809718).

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

428961672 is a wasteful number, since it uses less digits than its factorization.

428961672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957813 (or 5957806 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 428961672 is about 20711.3899099022. The cubic root of 428961672 is about 754.1762118440.

The spelling of 428961672 in words is "four hundred twenty-eight million, nine hundred sixty-one thousand, six hundred seventy-two".