1974349728 has 144 divisors (see below), whose sum is σ = 6270709536. Its totient is φ = 607461120.

The previous prime is 1974349709. The next prime is 1974349733. The reversal of 1974349728 is 8279434791.

1974349728 is a `hidden beast` number, since 1 + 97 + 43 + 497 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91323 + ... + 110853.

It is an arithmetic number, because the mean of its divisors is an integer number (43546594).

Almost surely, 2^1974349728 is an apocalyptic number.

1974349728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1974349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135354768).

1974349728 is an abundant number, since it is smaller than the sum of its proper divisors (4296359808).

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

1974349728 is a wasteful number, since it uses less digits than its factorization.

1974349728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19569 (or 19549 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 1974349728 is about 44433.6553526716. The cubic root of 1974349728 is about 1254.5116384767.

The spelling of 1974349728 in words is "one billion, nine hundred seventy-four million, three hundred forty-nine thousand, seven hundred twenty-eight".