728177153048448 has 384 divisors, whose sum is σ = 2053879128576000. Its totient is φ = 228409855119360.

The previous prime is 728177153048437. The next prime is 728177153048507. The reversal of 728177153048448 is 844840351771827.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24017173833 + ... + 24017204151.

It is an arithmetic number, because the mean of its divisors is an integer number (5348643564000).

Almost surely, 2^{728177153048448} 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 728177153048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026939564288000).

728177153048448 is an abundant number, since it is smaller than the sum of its proper divisors (1325701975527552).

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

728177153048448 is a wasteful number, since it uses less digits than its factorization.

728177153048448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32194 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 337182720, while the sum is 69.

The spelling of 728177153048448 in words is "seven hundred twenty-eight trillion, one hundred seventy-seven billion, one hundred fifty-three million, forty-eight thousand, four hundred forty-eight".