28427760 has 200 divisors, whose sum is σ = 102087216. Its totient is φ = 7326720.

The previous prime is 28427759. The next prime is 28427771. The reversal of 28427760 is 6772482.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265627 + ... + 265733.

Almost surely, 2^28427760 is an apocalyptic number.

28427760 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 28427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51043608).

28427760 is an abundant number, since it is smaller than the sum of its proper divisors (73659456).

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

28427760 is a wasteful number, since it uses less digits than its factorization.

28427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 28427760 is about 5331.7689372290. The cubic root of 28427760 is about 305.1974355456.

The spelling of 28427760 in words is "twenty-eight million, four hundred twenty-seven thousand, seven hundred sixty".