28682851680 has 1080 divisors, whose sum is σ = 124263193824. Its totient is φ = 6209602560.

The previous prime is 28682851657. The next prime is 28682851759. The reversal of 28682851680 is 8615828682.

It is a happy number.

28682851680 is a `hidden beast` number, since 28 + 6 + 8 + 28 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 610273417 + ... + 610273463.

Almost surely, 2^28682851680 is an apocalyptic number.

28682851680 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 28682851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62131596912).

28682851680 is an abundant number, since it is smaller than the sum of its proper divisors (95580342144).

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

28682851680 is a wasteful number, since it uses less digits than its factorization.

28682851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 28682851680 in words is "twenty-eight billion, six hundred eighty-two million, eight hundred fifty-one thousand, six hundred eighty".