28369604229120 has 5760 divisors, whose sum is σ = 140556313497600. Its totient is φ = 5395474022400.

The previous prime is 28369604229119. The next prime is 28369604229149. The reversal of 28369604229120 is 2192240696382.

28369604229120 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 9 + 604 + 2 + 2 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 318759598036 + ... + 318759598124.

It is an arithmetic number, because the mean of its divisors is an integer number (24402137760).

Almost surely, 2^{28369604229120} is an apocalyptic number.

28369604229120 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 28369604229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70278156748800).

28369604229120 is an abundant number, since it is smaller than the sum of its proper divisors (112186709268480).

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

28369604229120 is a wasteful number, since it uses less digits than its factorization.

28369604229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 28369604229120 in words is "twenty-eight trillion, three hundred sixty-nine billion, six hundred four million, two hundred twenty-nine thousand, one hundred twenty".