28132080 has 80 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 7456000.

The previous prime is 28132067. The next prime is 28132121. The reversal of 28132080 is 8023182.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 28132080.

It is a congruent number.

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, 60007 + ... + 60473.

Almost surely, 2^28132080 is an apocalyptic number.

28132080 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 28132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

28132080 is an abundant number, since it is smaller than the sum of its proper divisors (59612304).

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

28132080 is a wasteful number, since it uses less digits than its factorization.

28132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28132080 is about 5303.9683256973. The cubic root of 28132080 is about 304.1356158541.

The spelling of 28132080 in words is "twenty-eight million, one hundred thirty-two thousand, eighty".