1042201728 has 288 divisors, whose sum is σ = 3342594060. Its totient is φ = 322486272.

The previous prime is 1042201717. The next prime is 1042201747. The reversal of 1042201728 is 8271022401.

1042201728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1008189504 + 34012224 = 31752^2 + 5832^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14276700 + ... + 14276772.

Almost surely, 2^1042201728 is an apocalyptic number.

1042201728 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 1042201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671297030).

1042201728 is an abundant number, since it is smaller than the sum of its proper divisors (2300392332).

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

1042201728 is an frugal number, since it uses more digits than its factorization.

1042201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1042201728 is about 32283.1492887543. The cubic root of 1042201728 is about 1013.8738682787.

The spelling of 1042201728 in words is "one billion, forty-two million, two hundred one thousand, seven hundred twenty-eight".