728040004000 has 96 divisors (see below), whose sum is σ = 1798064560656. Its totient is φ = 289706803200.

The previous prime is 728040003961. The next prime is 728040004099. The reversal of 728040004000 is 400040827.

It can be written as a sum of positive squares in 8 ways, for example, as 95805106576 + 632234897424 = 309524^2 + 795132^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 300472 + ... + 1243528.

Almost surely, 2^728040004000 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 728040004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899032280328).

728040004000 is an abundant number, since it is smaller than the sum of its proper divisors (1070024556656).

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

728040004000 is a wasteful number, since it uses less digits than its factorization.

728040004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943275 (or 943257 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

Adding to 728040004000 its reverse (400040827), we get a palindrome (728440044827).

The spelling of 728040004000 in words is "seven hundred twenty-eight billion, forty million, four thousand".