28938672 has 120 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 7827840.

The previous prime is 28938659. The next prime is 28938673. The reversal of 28938672 is 27683982.

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 (28938673) 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, 18397 + ... + 19907.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^28938672 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 28938672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

28938672 is an abundant number, since it is smaller than the sum of its proper divisors (68555088).

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

28938672 is a wasteful number, since it uses less digits than its factorization.

28938672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1542 counting only the distinct ones).

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

The square root of 28938672 is about 5379.4676316528. The cubic root of 28938672 is about 307.0149561056.

The spelling of 28938672 in words is "twenty-eight million, nine hundred thirty-eight thousand, six hundred seventy-two".