734101728 has 96 divisors (see below), whose sum is σ = 1975228416. Its totient is φ = 238637568.

The previous prime is 734101721. The next prime is 734101763. The reversal of 734101728 is 827101437.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734101721) by changing a digit.

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, 1134301 + ... + 1134947.

It is an arithmetic number, because the mean of its divisors is an integer number (20575296).

Almost surely, 2^734101728 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 734101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987614208).

734101728 is an abundant number, since it is smaller than the sum of its proper divisors (1241126688).

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

734101728 is a wasteful number, since it uses less digits than its factorization.

734101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 734101728 is about 27094.3117277409. The cubic root of 734101728 is about 902.0945979386.

The spelling of 734101728 in words is "seven hundred thirty-four million, one hundred one thousand, seven hundred twenty-eight".