28726156716480 has 280 divisors, whose sum is σ = 102272877780480. Its totient is φ = 7653645158400.

The previous prime is 28726156716457. The next prime is 28726156716529. The reversal of 28726156716480 is 8461765162782.

28726156716480 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 6 + 1 + 567 + 1 + 64 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29352486 + ... + 30315354.

Almost surely, 2^{28726156716480} is an apocalyptic number.

28726156716480 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 28726156716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51136438890240).

28726156716480 is an abundant number, since it is smaller than the sum of its proper divisors (73546721064000).

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

28726156716480 is a wasteful number, since it uses less digits than its factorization.

28726156716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964049 (or 964030 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 28726156716480 in words is "twenty-eight trillion, seven hundred twenty-six billion, one hundred fifty-six million, seven hundred sixteen thousand, four hundred eighty".