28296752595120 has 240 divisors, whose sum is σ = 97253571935520. Its totient is φ = 7369282658304.

The previous prime is 28296752595113. The next prime is 28296752595127. The reversal of 28296752595120 is 2159525769282.

28296752595120 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 6 + 7 + 525 + 95 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28296752595113) and next prime (28296752595127).

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

It is not an unprimeable number, because it can be changed into a prime (28296752595127) 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, 234399736 + ... + 234520424.

It is an arithmetic number, because the mean of its divisors is an integer number (405223216398).

Almost surely, 2^{28296752595120} is an apocalyptic number.

28296752595120 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 28296752595120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48626785967760).

28296752595120 is an abundant number, since it is smaller than the sum of its proper divisors (68956819340400).

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

28296752595120 is a wasteful number, since it uses less digits than its factorization.

28296752595120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128324 (or 128315 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 28296752595120 in words is "twenty-eight trillion, two hundred ninety-six billion, seven hundred fifty-two million, five hundred ninety-five thousand, one hundred twenty".