28682035200 has 1680 divisors, whose sum is σ = 137653897920. Its totient is φ = 5733089280.

The previous prime is 28682035199. The next prime is 28682035237. The reversal of 28682035200 is 253028682.

28682035200 is a `hidden beast` number, since 286 + 8 + 20 + 352 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1509580791 + ... + 1509580809.

It is an arithmetic number, because the mean of its divisors is an integer number (81936844).

Almost surely, 2^28682035200 is an apocalyptic number.

28682035200 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 28682035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68826948960).

28682035200 is an abundant number, since it is smaller than the sum of its proper divisors (108971862720).

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

28682035200 is a wasteful number, since it uses less digits than its factorization.

28682035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28682035200 in words is "twenty-eight billion, six hundred eighty-two million, thirty-five thousand, two hundred".