1028252736 has 84 divisors (see below), whose sum is σ = 3368356992. Its totient is φ = 293785344.

The previous prime is 1028252711. The next prime is 1028252749. The reversal of 1028252736 is 6372528201.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1028252736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123480 + ... + 131543.

It is an arithmetic number, because the mean of its divisors is an integer number (40099488).

Almost surely, 2^1028252736 is an apocalyptic number.

1028252736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1028252736 is an abundant number, since it is smaller than the sum of its proper divisors (2340104256).

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

1028252736 is a wasteful number, since it uses less digits than its factorization.

1028252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255048 (or 255035 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1028252736 is about 32066.3801511801. The cubic root of 1028252736 is about 1009.3302542776.

The spelling of 1028252736 in words is "one billion, twenty-eight million, two hundred fifty-two thousand, seven hundred thirty-six".