28980900 has 108 divisors (see below), whose sum is σ = 97866132. Its totient is φ = 7130880.

The previous prime is 28980899. The next prime is 28980907. The reversal of 28980900 is 908982.

It can be written as a sum of positive squares in 6 ways, for example, as 3154176 + 25826724 = 1776^2 + 5082^2 .

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 (28980907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10462 + ... + 12938.

Almost surely, 2^28980900 is an apocalyptic number.

28980900 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 28980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48933066).

28980900 is an abundant number, since it is smaller than the sum of its proper divisors (68885232).

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

28980900 is a wasteful number, since it uses less digits than its factorization.

28980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 28980900 is about 5383.3911245608. The cubic root of 28980900 is about 307.1642180410.

The spelling of 28980900 in words is "twenty-eight million, nine hundred eighty thousand, nine hundred".