728224968744 has 1152 divisors, whose sum is σ = 2664242380800. Its totient is φ = 177770557440.

The previous prime is 728224968683. The next prime is 728224968763. The reversal of 728224968744 is 447869422827.

728224968744 is a `hidden beast` number, since 7 + 2 + 8 + 22 + 496 + 87 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5734054809 + ... + 5734054935.

It is an arithmetic number, because the mean of its divisors is an integer number (2312710400).

Almost surely, 2^728224968744 is an apocalyptic number.

728224968744 is a gapful number since it is divisible by the number (74) 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 728224968744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332121190400).

728224968744 is an abundant number, since it is smaller than the sum of its proper divisors (1936017412056).

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

728224968744 is a wasteful number, since it uses less digits than its factorization.

728224968744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 728224968744 in words is "seven hundred twenty-eight billion, two hundred twenty-four million, nine hundred sixty-eight thousand, seven hundred forty-four".