28725166080 has 840 divisors, whose sum is σ = 114319344552. Its totient is φ = 6879707136.

The previous prime is 28725166051. The next prime is 28725166081. The reversal of 28725166080 is 8066152782.

28725166080 is a `hidden beast` number, since 2 + 8 + 7 + 25 + 16 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3451797504 + 25273368576 = 58752^2 + 158976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28725166081) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 776355822 + ... + 776355858.

Almost surely, 2^28725166080 is an apocalyptic number.

28725166080 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 28725166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57159672276).

28725166080 is an abundant number, since it is smaller than the sum of its proper divisors (85594178472).

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

28725166080 is an frugal number, since it uses more digits than its factorization.

28725166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28725166080 in words is "twenty-eight billion, seven hundred twenty-five million, one hundred sixty-six thousand, eighty".