728380275840 has 384 divisors, whose sum is σ = 2883237851520. Its totient is φ = 165980897280.

The previous prime is 728380275761. The next prime is 728380275841. The reversal of 728380275840 is 48572083827.

728380275840 is a `hidden beast` number, since 7 + 2 + 8 + 38 + 0 + 27 + 584 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (728380275841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13318632 + ... + 13373208.

It is an arithmetic number, because the mean of its divisors is an integer number (7508431905).

Almost surely, 2^728380275840 is an apocalyptic number.

728380275840 is a gapful number since it is divisible by the number (70) 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 728380275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441618925760).

728380275840 is an abundant number, since it is smaller than the sum of its proper divisors (2154857575680).

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

728380275840 is a wasteful number, since it uses less digits than its factorization.

728380275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54940 (or 54925 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 728380275840 in words is "seven hundred twenty-eight billion, three hundred eighty million, two hundred seventy-five thousand, eight hundred forty".