739693728 has 96 divisors (see below), whose sum is σ = 2227115520. Its totient is φ = 238602240.

The previous prime is 739693723. The next prime is 739693733. The reversal of 739693728 is 827396937.

It is an interprime number because it is at equal distance from previous prime (739693723) and next prime (739693733).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×739693728² = 1094293622485075968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (739693723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12976 + ... + 40592.

It is an arithmetic number, because the mean of its divisors is an integer number (23199120).

Almost surely, 2^739693728 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 739693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113557760).

739693728 is an abundant number, since it is smaller than the sum of its proper divisors (1487421792).

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

739693728 is a wasteful number, since it uses less digits than its factorization.

739693728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27667 (or 27653 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 739693728 is about 27197.3110435572. The cubic root of 739693728 is about 904.3793667104.

It can be divided in two parts, 7396 and 93728, that added together give a square (101124 = 318²).

The spelling of 739693728 in words is "seven hundred thirty-nine million, six hundred ninety-three thousand, seven hundred twenty-eight".