1028631072 has 96 divisors (see below), whose sum is σ = 3108696192. Its totient is φ = 291723264.

The previous prime is 1028631041. The next prime is 1028631077. The reversal of 1028631072 is 2701368201.

1028631072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1028631077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86478 + ... + 97650.

It is an arithmetic number, because the mean of its divisors is an integer number (32382252).

Almost surely, 2^1028631072 is an apocalyptic number.

1028631072 is a gapful number since it is divisible by the number (12) 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 1028631072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554348096).

1028631072 is an abundant number, since it is smaller than the sum of its proper divisors (2080065120).

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

1028631072 is a wasteful number, since it uses less digits than its factorization.

1028631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11330 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1028631072 is about 32072.2788713244. The cubic root of 1028631072 is about 1009.4540303145.

Adding to 1028631072 its reverse (2701368201), we get a palindrome (3729999273).

The spelling of 1028631072 in words is "one billion, twenty-eight million, six hundred thirty-one thousand, seventy-two".