28428672 has 64 divisors (see below), whose sum is σ = 76365360. Its totient is φ = 9369600.

The previous prime is 28428661. The next prime is 28428679. The reversal of 28428672 is 27682482.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 28428672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28428679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38418 + ... + 39150.

Almost surely, 2^28428672 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 28428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38182680).

28428672 is an abundant number, since it is smaller than the sum of its proper divisors (47936688).

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

28428672 is a wasteful number, since it uses less digits than its factorization.

28428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 839 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 28428672 is about 5331.8544616296. The cubic root of 28428672 is about 305.2006992226.

The spelling of 28428672 in words is "twenty-eight million, four hundred twenty-eight thousand, six hundred seventy-two".