28372000 has 96 divisors (see below), whose sum is σ = 71823024. Its totient is φ = 11008000.

The previous prime is 28371991. The next prime is 28372009. The reversal of 28372000 is 27382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28371991) and next prime (28372009).

It can be written as a sum of positive squares in 8 ways, for example, as 535824 + 27836176 = 732^2 + 5276^2 .

It is not an unprimeable number, because it can be changed into a prime (28372009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163914 + ... + 164086.

Almost surely, 2^28372000 is an apocalyptic number.

28372000 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 28372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35911512).

28372000 is an abundant number, since it is smaller than the sum of its proper divisors (43451024).

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

28372000 is a wasteful number, since it uses less digits than its factorization.

28372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 28372000 is about 5326.5373367695. The cubic root of 28372000 is about 304.9977604422.

Adding to 28372000 its reverse (27382), we get a palindrome (28399382).

The spelling of 28372000 in words is "twenty-eight million, three hundred seventy-two thousand".