728619240384 has 1344 divisors, whose sum is σ = 2735299584000. Its totient is φ = 191409039360.

The previous prime is 728619240379. The next prime is 728619240403. The reversal of 728619240384 is 483042916827.

728619240384 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 19 + 240 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 728619240384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4890061942 + ... + 4890062090.

Almost surely, 2^728619240384 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 728619240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367649792000).

728619240384 is an abundant number, since it is smaller than the sum of its proper divisors (2006680343616).

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

728619240384 is a wasteful number, since it uses less digits than its factorization.

728619240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 728619240384 in words is "seven hundred twenty-eight billion, six hundred nineteen million, two hundred forty thousand, three hundred eighty-four".