28191120 has 80 divisors (see below), whose sum is σ = 88333632. Its totient is φ = 7436800.

The previous prime is 28191113. The next prime is 28191133. The reversal of 28191120 is 2119182.

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 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 15 ways as a sum of consecutive naturals, for example, 23659 + ... + 24821.

Almost surely, 2^28191120 is an apocalyptic number.

28191120 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 28191120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44166816).

28191120 is an abundant number, since it is smaller than the sum of its proper divisors (60142512).

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

28191120 is a wasteful number, since it uses less digits than its factorization.

28191120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 28191120 is about 5309.5310527390. The cubic root of 28191120 is about 304.3482274588.

The spelling of 28191120 in words is "twenty-eight million, one hundred ninety-one thousand, one hundred twenty".