28615938785280 has 3360 divisors, whose sum is σ = 132025949798400. Its totient is φ = 5899348869120.

The previous prime is 28615938785233. The next prime is 28615938785281. The reversal of 28615938785280 is 8258783951682.

It is a happy number.

28615938785280 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 5 + 93 + 8 + 7 + 8 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28615938785199 and 28615938785208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28615938785281) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 225322352577 + ... + 225322352703.

It is an arithmetic number, because the mean of its divisors is an integer number (39293437440).

Almost surely, 2^{28615938785280} is an apocalyptic number.

28615938785280 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 28615938785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66012974899200).

28615938785280 is an abundant number, since it is smaller than the sum of its proper divisors (103410011013120).

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

28615938785280 is an frugal number, since it uses more digits than its factorization.

28615938785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 28615938785280 in words is "twenty-eight trillion, six hundred fifteen billion, nine hundred thirty-eight million, seven hundred eighty-five thousand, two hundred eighty".