28296338681520 has 640 divisors, whose sum is σ = 121305035980800. Its totient is φ = 5903131779072.

The previous prime is 28296338681453. The next prime is 28296338681531. The reversal of 28296338681520 is 2518683369282.

28296338681520 is a `hidden beast` number, since 2 + 8 + 2 + 96 + 338 + 68 + 152 + 0 = 666.

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, 16685089 + ... + 18302591.

It is an arithmetic number, because the mean of its divisors is an integer number (189539118720).

Almost surely, 2^{28296338681520} is an apocalyptic number.

28296338681520 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 28296338681520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652517990400).

28296338681520 is an abundant number, since it is smaller than the sum of its proper divisors (93008697299280).

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

28296338681520 is a wasteful number, since it uses less digits than its factorization.

28296338681520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617634 (or 1617622 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 28296338681520 in words is "twenty-eight trillion, two hundred ninety-six billion, three hundred thirty-eight million, six hundred eighty-one thousand, five hundred twenty".