28952 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 11040.

The previous prime is 28949. The next prime is 28961. The reversal of 28952 is 25982.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2²⁸⁹⁵² is an apocalyptic number.

28952 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 28952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

28952 is an abundant number, since it is smaller than the sum of its proper divisors (40168).

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

28952 is a wasteful number, since it uses less digits than its factorization.

28952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 28952 is about 170.1528724412. The cubic root of 28952 is about 30.7062081826.

The spelling of 28952 in words is "twenty-eight thousand, nine hundred fifty-two".