741853728 has 504 divisors, whose sum is σ = 2825973360. Its totient is φ = 189423360.

The previous prime is 741853711. The next prime is 741853771. The reversal of 741853728 is 827358147.

It is a tau number, because it is divible by the number of its divisors (504).

Its product of digits (376320) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12573763 + ... + 12573821.

It is an arithmetic number, because the mean of its divisors is an integer number (5607090).

Almost surely, 2^741853728 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 741853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412986680).

741853728 is an abundant number, since it is smaller than the sum of its proper divisors (2084119632).

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

741853728 is a wasteful number, since it uses less digits than its factorization.

741853728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 741853728 is about 27236.9919043936. The cubic root of 741853728 is about 905.2588122551.

The spelling of 741853728 in words is "seven hundred forty-one million, eight hundred fifty-three thousand, seven hundred twenty-eight".