28059514653744 has 320 divisors, whose sum is σ = 96084619079680. Its totient is φ = 7672452295680.

The previous prime is 28059514653739. The next prime is 28059514653761. The reversal of 28059514653744 is 44735641595082.

It is a happy number.

28059514653744 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 9 + 51 + 4 + 6 + 537 + 44 = 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 63 ways as a sum of consecutive naturals, for example, 4769577 + ... + 8880759.

It is an arithmetic number, because the mean of its divisors is an integer number (300264434624).

It is a 2-persistent number, because it is pandigital, and so is 2⋅28059514653744 = 56119029307488, but 3⋅28059514653744 = 84178543961232 is not.

Almost surely, 2^{28059514653744} is an apocalyptic number.

28059514653744 is a gapful number since it is divisible by the number (24) 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 28059514653744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48042309539840).

28059514653744 is an abundant number, since it is smaller than the sum of its proper divisors (68025104425936).

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

28059514653744 is a wasteful number, since it uses less digits than its factorization.

28059514653744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111305 (or 4111293 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 28059514653744 in words is "twenty-eight trillion, fifty-nine billion, five hundred fourteen million, six hundred fifty-three thousand, seven hundred forty-four".