28239828664320 has 1920 divisors, whose sum is σ = 124443215124480. Its totient is φ = 5916548136960.

The previous prime is 28239828664291. The next prime is 28239828664337. The reversal of 28239828664320 is 2346682893282.

28239828664320 is a `hidden beast` number, since 2 + 8 + 23 + 9 + 8 + 286 + 6 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34820996715 + ... + 34820997525.

It is an arithmetic number, because the mean of its divisors is an integer number (64814174544).

Almost surely, 2^{28239828664320} is an apocalyptic number.

28239828664320 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 28239828664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62221607562240).

28239828664320 is an abundant number, since it is smaller than the sum of its proper divisors (96203386460160).

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

28239828664320 is a wasteful number, since it uses less digits than its factorization.

28239828664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 28239828664320 in words is "twenty-eight trillion, two hundred thirty-nine billion, eight hundred twenty-eight million, six hundred sixty-four thousand, three hundred twenty".