28729706839920 has 240 divisors, whose sum is σ = 101571661095840. Its totient is φ = 7257343205376.

The previous prime is 28729706839907. The next prime is 28729706839927. The reversal of 28729706839920 is 2993860792782.

28729706839920 is a `hidden beast` number, since 2 + 8 + 72 + 97 + 0 + 68 + 399 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28729706839927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152807412 + ... + 152995308.

It is an arithmetic number, because the mean of its divisors is an integer number (423215254566).

Almost surely, 2^{28729706839920} is an apocalyptic number.

28729706839920 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 28729706839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50785830547920).

28729706839920 is an abundant number, since it is smaller than the sum of its proper divisors (72841954255920).

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

28729706839920 is a wasteful number, since it uses less digits than its factorization.

28729706839920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199112 (or 199103 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 28729706839920 in words is "twenty-eight trillion, seven hundred twenty-nine billion, seven hundred six million, eight hundred thirty-nine thousand, nine hundred twenty".