28722893310720 has 3456 divisors, whose sum is σ = 129291648245760. Its totient is φ = 5959546306560.

The previous prime is 28722893310649. The next prime is 28722893310731. The reversal of 28722893310720 is 2701339822782.

28722893310720 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 289 + 331 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 119182129800 + ... + 119182130040.

Almost surely, 2^{28722893310720} is an apocalyptic number.

28722893310720 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 28722893310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64645824122880).

28722893310720 is an abundant number, since it is smaller than the sum of its proper divisors (100568754935040).

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

28722893310720 is a wasteful number, since it uses less digits than its factorization.

28722893310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 28722893310720 in words is "twenty-eight trillion, seven hundred twenty-two billion, eight hundred ninety-three million, three hundred ten thousand, seven hundred twenty".