32258030728448 has 144 divisors (see below), whose sum is σ = 74992290621696. Its totient is φ = 13561275187200.

The previous prime is 32258030728403. The next prime is 32258030728477. The reversal of 32258030728448 is 84482703085223.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 32258030728393 and 32258030728402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508184840 + ... + 508248312.

It is an arithmetic number, because the mean of its divisors is an integer number (520779795984).

Almost surely, 2^{32258030728448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32258030728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37496145310848).

32258030728448 is an abundant number, since it is smaller than the sum of its proper divisors (42734259893248).

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

32258030728448 is an equidigital number, since it uses as much as digits as its factorization.

32258030728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68900 (or 68886 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 56.

The spelling of 32258030728448 in words is "thirty-two trillion, two hundred fifty-eight billion, thirty million, seven hundred twenty-eight thousand, four hundred forty-eight".