28654501680 has 960 divisors, whose sum is σ = 120112312320. Its totient is φ = 6213086208.

The previous prime is 28654501661. The next prime is 28654501699. The reversal of 28654501680 is 8610545682.

28654501680 is a `hidden beast` number, since 2 + 8 + 65 + 4 + 501 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28654501661) and next prime (28654501699).

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

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, 345234919 + ... + 345235001.

It is an arithmetic number, because the mean of its divisors is an integer number (125116992).

Almost surely, 2^28654501680 is an apocalyptic number.

28654501680 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 28654501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056156160).

28654501680 is an abundant number, since it is smaller than the sum of its proper divisors (91457810640).

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

28654501680 is a wasteful number, since it uses less digits than its factorization.

28654501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 28654501680 in words is "twenty-eight billion, six hundred fifty-four million, five hundred one thousand, six hundred eighty".