28480291519680 has 8064 divisors, whose sum is σ = 150723457597440. Its totient is φ = 4966288588800.

The previous prime is 28480291519679. The next prime is 28480291519753. The reversal of 28480291519680 is 8691519208482.

28480291519680 is a `hidden beast` number, since 2 + 8 + 4 + 80 + 291 + 5 + 196 + 80 = 666.

It is a super-2 number, since 2×28480291519680² (a number of 28 digits) contains 22 as substring.

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 1151 ways as a sum of consecutive naturals, for example, 769737608622 + ... + 769737608658.

It is an arithmetic number, because the mean of its divisors is an integer number (18690904960).

Almost surely, 2^{28480291519680} is an apocalyptic number.

28480291519680 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 28480291519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75361728798720).

28480291519680 is an abundant number, since it is smaller than the sum of its proper divisors (122243166077760).

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

28480291519680 is a wasteful number, since it uses less digits than its factorization.

28480291519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 28480291519680 in words is "twenty-eight trillion, four hundred eighty billion, two hundred ninety-one million, five hundred nineteen thousand, six hundred eighty".