1042728920 has 64 divisors (see below), whose sum is σ = 2466313920. Its totient is φ = 395997184.

The previous prime is 1042728919. The next prime is 1042728923. The reversal of 1042728920 is 298272401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042728923) 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 15 ways as a sum of consecutive naturals, for example, 121904 + ... + 130176.

It is an arithmetic number, because the mean of its divisors is an integer number (38536155).

Almost surely, 2^1042728920 is an apocalyptic number.

1042728920 is a gapful number since it is divisible by the number (10) 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 1042728920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233156960).

1042728920 is an abundant number, since it is smaller than the sum of its proper divisors (1423585000).

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

1042728920 is a wasteful number, since it uses less digits than its factorization.

1042728920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1042728920 is about 32291.3133830137. The cubic root of 1042728920 is about 1014.0447936309.

The spelling of 1042728920 in words is "one billion, forty-two million, seven hundred twenty-eight thousand, nine hundred twenty".