28661017320 has 320 divisors, whose sum is σ = 104194823040. Its totient is φ = 7024320000.

The previous prime is 28661017309. The next prime is 28661017351. The reversal of 28661017320 is 2371016682.

28661017320 is a `hidden beast` number, since 2 + 8 + 6 + 610 + 1 + 7 + 32 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10570765 + ... + 10573475.

It is an arithmetic number, because the mean of its divisors is an integer number (325608822).

Almost surely, 2^28661017320 is an apocalyptic number.

28661017320 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 28661017320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52097411520).

28661017320 is an abundant number, since it is smaller than the sum of its proper divisors (75533805720).

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

28661017320 is a wasteful number, since it uses less digits than its factorization.

28661017320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 28661017320 in words is "twenty-eight billion, six hundred sixty-one million, seventeen thousand, three hundred twenty".