28473120 has 240 divisors, whose sum is σ = 108856440. Its totient is φ = 7008768.

The previous prime is 28473083. The next prime is 28473161. The reversal of 28473120 is 2137482.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 28005264 = 684^2 + 5292^2 .

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 (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 390 × 234 × 312.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2190234 + ... + 2190246.

Almost surely, 2^28473120 is an apocalyptic number.

28473120 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 28473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54428220).

28473120 is an abundant number, since it is smaller than the sum of its proper divisors (80383320).

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

28473120 is an equidigital number, since it uses as much as digits as its factorization.

28473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28473120 is about 5336.0209894640. The cubic root of 28473120 is about 305.3596760112.

The spelling of 28473120 in words is "twenty-eight million, four hundred seventy-three thousand, one hundred twenty".