1028192256 has 288 divisors, whose sum is σ = 3660864480. Its totient is φ = 270729216.

The previous prime is 1028192237. The next prime is 1028192273. The reversal of 1028192256 is 6522918201.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1028192256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677006 + ... + 1677618.

It is an arithmetic number, because the mean of its divisors is an integer number (12711335).

Almost surely, 2^1028192256 is an apocalyptic number.

1028192256 is a gapful number since it is divisible by the number (16) 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 1028192256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830432240).

1028192256 is an abundant number, since it is smaller than the sum of its proper divisors (2632672224).

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

1028192256 is a wasteful number, since it uses less digits than its factorization.

1028192256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1028192256 is about 32065.4370935436. The cubic root of 1028192256 is about 1009.3104648852.

The spelling of 1028192256 in words is "one billion, twenty-eight million, one hundred ninety-two thousand, two hundred fifty-six".