28460160 has 224 divisors, whose sum is σ = 103681980. Its totient is φ = 7464960.

The previous prime is 28460129. The next prime is 28460161. The reversal of 28460160 is 6106482.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 3779136 = 4968^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28460161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466530 + ... + 466590.

Almost surely, 2^28460160 is an apocalyptic number.

28460160 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 28460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840990).

28460160 is an abundant number, since it is smaller than the sum of its proper divisors (75221820).

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

28460160 is an frugal number, since it uses more digits than its factorization.

28460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28460160 is about 5334.8064632187. The cubic root of 28460160 is about 305.3133391856.

The spelling of 28460160 in words is "twenty-eight million, four hundred sixty thousand, one hundred sixty".