1041229728 has 576 divisors, whose sum is σ = 4015484928. Its totient is φ = 257541120.

The previous prime is 1041229723. The next prime is 1041229741. The reversal of 1041229728 is 8279221401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1041229692 and 1041229701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041229723) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22153801 + ... + 22153847.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^1041229728 is an apocalyptic number.

1041229728 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 1041229728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007742464).

1041229728 is an abundant number, since it is smaller than the sum of its proper divisors (2974255200).

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

1041229728 is a wasteful number, since it uses less digits than its factorization.

1041229728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1041229728 is about 32268.0914836933. The cubic root of 1041229728 is about 1013.5585768144.

The spelling of 1041229728 in words is "one billion, forty-one million, two hundred twenty-nine thousand, seven hundred twenty-eight".