28610200080 has 960 divisors, whose sum is σ = 127663257600. Its totient is φ = 5721062400.

The previous prime is 28610200061. The next prime is 28610200093. The reversal of 28610200080 is 8000201682.

28610200080 is a `hidden beast` number, since 28 + 610 + 20 + 0 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159833431 + ... + 159833609.

It is an arithmetic number, because the mean of its divisors is an integer number (132982560).

Almost surely, 2^28610200080 is an apocalyptic number.

28610200080 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 28610200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63831628800).

28610200080 is an abundant number, since it is smaller than the sum of its proper divisors (99053057520).

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

28610200080 is a wasteful number, since it uses less digits than its factorization.

28610200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 28610200080 in words is "twenty-eight billion, six hundred ten million, two hundred thousand, eighty".