28822080 has 112 divisors (see below), whose sum is σ = 104607360. Its totient is φ = 6586368.

The previous prime is 28822063. The next prime is 28822099. The reversal of 28822080 is 8022882.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4576 + ... + 8864.

Almost surely, 2^28822080 is an apocalyptic number.

28822080 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 28822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52303680).

28822080 is an abundant number, since it is smaller than the sum of its proper divisors (75785280).

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

28822080 is a wasteful number, since it uses less digits than its factorization.

28822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 28822080 is about 5368.6199343965. The cubic root of 28822080 is about 306.6020868004.

The spelling of 28822080 in words is "twenty-eight million, eight hundred twenty-two thousand, eighty".