28757120 has 128 divisors (see below), whose sum is σ = 80784000. Its totient is φ = 9784320.

The previous prime is 28757117. The next prime is 28757129. The reversal of 28757120 is 2175782.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28757129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 219455 + ... + 219585.

It is an arithmetic number, because the mean of its divisors is an integer number (631125).

Almost surely, 2^28757120 is an apocalyptic number.

28757120 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 28757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40392000).

28757120 is an abundant number, since it is smaller than the sum of its proper divisors (52026880).

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

28757120 is an equidigital number, since it uses as much as digits as its factorization.

28757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 28757120 is about 5362.5665497036. The cubic root of 28757120 is about 306.3715707818.

The spelling of 28757120 in words is "twenty-eight million, seven hundred fifty-seven thousand, one hundred twenty".