28982880 has 96 divisors (see below), whose sum is σ = 101455200. Its totient is φ = 7727616.

The previous prime is 28982873. The next prime is 28982897. The reversal of 28982880 is 8828982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 966 + ... + 7674.

It is an arithmetic number, because the mean of its divisors is an integer number (1056825).

Almost surely, 2^28982880 is an apocalyptic number.

28982880 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 28982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50727600).

28982880 is an abundant number, since it is smaller than the sum of its proper divisors (72472320).

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

28982880 is a wasteful number, since it uses less digits than its factorization.

28982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 28982880 is about 5383.5750203745. The cubic root of 28982880 is about 307.1712131229.

It can be divided in two parts, 2898 and 2880, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 28982880 in words is "twenty-eight million, nine hundred eighty-two thousand, eight hundred eighty".