739871328 has 96 divisors (see below), whose sum is σ = 2257355520. Its totient is φ = 207797760.

The previous prime is 739871317. The next prime is 739871339. The reversal of 739871328 is 823178937.

It is an interprime number because it is at equal distance from previous prime (739871317) and next prime (739871339).

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30318 + ... + 48978.

It is an arithmetic number, because the mean of its divisors is an integer number (23514120).

Almost surely, 2^739871328 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 739871328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128677760).

739871328 is an abundant number, since it is smaller than the sum of its proper divisors (1517484192).

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

739871328 is a wasteful number, since it uses less digits than its factorization.

739871328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18740 (or 18732 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 739871328 is about 27200.5758762567. The cubic root of 739871328 is about 904.4517412245.

The spelling of 739871328 in words is "seven hundred thirty-nine million, eight hundred seventy-one thousand, three hundred twenty-eight".