28892952 has 72 divisors (see below), whose sum is σ = 85814820. Its totient is φ = 8709600.

The previous prime is 28892933. The next prime is 28892999. The reversal of 28892952 is 25929882.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (207360) is a multiple of the sum of its prime factors (405).

It is a junction number, because it is equal to n+sod(n) for n = 28892898 and 28892907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151177 + ... + 151367.

Almost surely, 2^28892952 is an apocalyptic number.

28892952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28892952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907410).

28892952 is an abundant number, since it is smaller than the sum of its proper divisors (56921868).

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

28892952 is a wasteful number, since it uses less digits than its factorization.

28892952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 207 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 28892952 is about 5375.2164607577. The cubic root of 28892952 is about 306.8531873087.

The spelling of 28892952 in words is "twenty-eight million, eight hundred ninety-two thousand, nine hundred fifty-two".