727993728 has 384 divisors, whose sum is σ = 2711404800. Its totient is φ = 181923840.

The previous prime is 727993727. The next prime is 727993729. The reversal of 727993728 is 827399727.

It is an interprime number because it is at equal distance from previous prime (727993727) and next prime (727993729).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727993727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2572275 + ... + 2572557.

It is an arithmetic number, because the mean of its divisors is an integer number (7060950).

Almost surely, 2^727993728 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 727993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355702400).

727993728 is an abundant number, since it is smaller than the sum of its proper divisors (1983411072).

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

727993728 is a wasteful number, since it uses less digits than its factorization.

727993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 727993728 is about 26981.3588983209. The cubic root of 727993728 is about 899.5857056146.

The spelling of 727993728 in words is "seven hundred twenty-seven million, nine hundred ninety-three thousand, seven hundred twenty-eight".