28082880 has 252 divisors, whose sum is σ = 112928400. Its totient is φ = 6386688.

The previous prime is 28082867. The next prime is 28082891. The reversal of 28082880 is 8828082.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141021 + ... + 141219.

Almost surely, 2^28082880 is an apocalyptic number.

28082880 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 28082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56464200).

28082880 is an abundant number, since it is smaller than the sum of its proper divisors (84845520).

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

28082880 is a wasteful number, since it uses less digits than its factorization.

28082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 28082880 is about 5299.3282593174. The cubic root of 28082880 is about 303.9582121693.

The spelling of 28082880 in words is "twenty-eight million, eighty-two thousand, eight hundred eighty".