28995120 has 240 divisors, whose sum is σ = 121635072. Its totient is φ = 6013440.

The previous prime is 28995119. The next prime is 28995139. The reversal of 28995120 is 2159982.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 55179 + ... + 55701.

Almost surely, 2^28995120 is an apocalyptic number.

28995120 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 28995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60817536).

28995120 is an abundant number, since it is smaller than the sum of its proper divisors (92639952).

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

28995120 is a wasteful number, since it uses less digits than its factorization.

28995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 28995120 is about 5384.7116914464. The cubic root of 28995120 is about 307.2144483764.

The spelling of 28995120 in words is "twenty-eight million, nine hundred ninety-five thousand, one hundred twenty".