28132920 has 160 divisors (see below), whose sum is σ = 99752400. Its totient is φ = 7091712.

The previous prime is 28132919. The next prime is 28132967. The reversal of 28132920 is 2923182.

It is a happy number.

It is a super-2 number, since 2×28132920² = 1582922375452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61332 + ... + 61788.

Almost surely, 2^28132920 is an apocalyptic number.

28132920 is a gapful number since it is divisible by the number (20) 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 28132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49876200).

28132920 is an abundant number, since it is smaller than the sum of its proper divisors (71619480).

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

28132920 is a wasteful number, since it uses less digits than its factorization.

28132920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28132920 is about 5304.0475110994. The cubic root of 28132920 is about 304.1386429010.

The spelling of 28132920 in words is "twenty-eight million, one hundred thirty-two thousand, nine hundred twenty".