28972080 has 200 divisors, whose sum is σ = 106948512. Its totient is φ = 7243776.

The previous prime is 28972049. The next prime is 28972087. The reversal of 28972080 is 8027982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28972087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110029 + ... + 110291.

Almost surely, 2^28972080 is an apocalyptic number.

28972080 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 28972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53474256).

28972080 is an abundant number, since it is smaller than the sum of its proper divisors (77976432).

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

28972080 is a wasteful number, since it uses less digits than its factorization.

28972080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28972080 is about 5382.5718759716. The cubic root of 28972080 is about 307.1330542597.

The spelling of 28972080 in words is "twenty-eight million, nine hundred seventy-two thousand, eighty".