1038428201 has 8 divisors (see below), whose sum is σ = 1079807880. Its totient is φ = 997420032.

The previous prime is 1038428177. The next prime is 1038428203. The reversal of 1038428201 is 1028248301.

1038428201 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 4 ways, for example, as 42025 + 1038386176 = 205^2 + 32224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1038428201 - 2⁶ = 1038428137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1038428203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87170 + ... + 98363.

It is an arithmetic number, because the mean of its divisors is an integer number (134975985).

Almost surely, 2^1038428201 is an apocalyptic number.

It is an amenable number.

1038428201 is a deficient number, since it is larger than the sum of its proper divisors (41379679).

1038428201 is a wasteful number, since it uses less digits than its factorization.

1038428201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185755.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1038428201 is about 32224.6520694949. The cubic root of 1038428201 is about 1012.6487352702.

The spelling of 1038428201 in words is "one billion, thirty-eight million, four hundred twenty-eight thousand, two hundred one".