1028764872 has 48 divisors (see below), whose sum is σ = 2861549340. Its totient is φ = 333652608.

The previous prime is 1028764871. The next prime is 1028764873. The reversal of 1028764872 is 2784678201.

1028764872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1028764871) and next prime (1028764873).

It can be written as a sum of positive squares in 2 ways, for example, as 829785636 + 198979236 = 28806^2 + 14106^2 .

It is a super-2 number, since 2×1028764872² = 2116714323722352768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1028764871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190423 + ... + 195750.

Almost surely, 2^1028764872 is an apocalyptic number.

1028764872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1028764872 is an abundant number, since it is smaller than the sum of its proper divisors (1832784468).

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

1028764872 is a wasteful number, since it uses less digits than its factorization.

1028764872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386222 (or 386215 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1028764872 is about 32074.3647170135. The cubic root of 1028764872 is about 1009.4977969273.

It can be divided in two parts, 10287648 and 72, that multiplied together give a square (740710656 = 27216²).

The spelling of 1028764872 in words is "one billion, twenty-eight million, seven hundred sixty-four thousand, eight hundred seventy-two".