28688378757120 has 880 divisors, whose sum is σ = 104019385488480. Its totient is φ = 7595196678144.

The previous prime is 28688378757109. The next prime is 28688378757169. The reversal of 28688378757120 is 2175787388682.

28688378757120 is a `hidden beast` number, since 2 + 8 + 6 + 88 + 378 + 7 + 57 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206391214011 + ... + 206391214149.

It is an arithmetic number, because the mean of its divisors is an integer number (118203847146).

Almost surely, 2^{28688378757120} is an apocalyptic number.

28688378757120 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 28688378757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009692744240).

28688378757120 is an abundant number, since it is smaller than the sum of its proper divisors (75331006731360).

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

28688378757120 is an frugal number, since it uses more digits than its factorization.

28688378757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 28688378757120 in words is "twenty-eight trillion, six hundred eighty-eight billion, three hundred seventy-eight million, seven hundred fifty-seven thousand, one hundred twenty".