1241929728 has 288 divisors, whose sum is σ = 3970905120. Its totient is φ = 371589120.

The previous prime is 1241929723. The next prime is 1241929757. The reversal of 1241929728 is 8279291421.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (145152) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241929721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17012700 + ... + 17012772.

It is an arithmetic number, because the mean of its divisors is an integer number (13787865).

Almost surely, 2^1241929728 is an apocalyptic number.

1241929728 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 1241929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985452560).

1241929728 is an abundant number, since it is smaller than the sum of its proper divisors (2728975392).

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

1241929728 is a wasteful number, since it uses less digits than its factorization.

1241929728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1241929728 is about 35241.0233676606. The cubic root of 1241929728 is about 1074.8940881414.

The spelling of 1241929728 in words is "one billion, two hundred forty-one million, nine hundred twenty-nine thousand, seven hundred twenty-eight".