28011120 has 80 divisors (see below), whose sum is σ = 87613440. Its totient is φ = 7402752.

The previous prime is 28011101. The next prime is 28011143. The reversal of 28011120 is 2111082.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 28011120.

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 15 ways as a sum of consecutive naturals, for example, 30021 + ... + 30939.

It is an arithmetic number, because the mean of its divisors is an integer number (1095168).

Almost surely, 2^28011120 is an apocalyptic number.

28011120 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 28011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43806720).

28011120 is an abundant number, since it is smaller than the sum of its proper divisors (59602320).

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

28011120 is a wasteful number, since it uses less digits than its factorization.

28011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 28011120 is about 5292.5532590613. The cubic root of 28011120 is about 303.6990905212.

The spelling of 28011120 in words is "twenty-eight million, eleven thousand, one hundred twenty".