28557760 has 224 divisors, whose sum is σ = 90708480. Its totient is φ = 8294400.

The previous prime is 28557757. The next prime is 28557791. The reversal of 28557760 is 6775582.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468130 + ... + 468190.

Almost surely, 2^28557760 is an apocalyptic number.

28557760 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 28557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354240).

28557760 is an abundant number, since it is smaller than the sum of its proper divisors (62150720).

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

28557760 is a wasteful number, since it uses less digits than its factorization.

28557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 28557760 is about 5343.9461075127. The cubic root of 28557760 is about 305.6619502890.

The spelling of 28557760 in words is "twenty-eight million, five hundred fifty-seven thousand, seven hundred sixty".