1028823400 has 192 divisors, whose sum is σ = 2781964800. Its totient is φ = 349920000.

The previous prime is 1028823379. The next prime is 1028823421. The reversal of 1028823400 is 43288201.

1028823400 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 (1028823379) and next prime (1028823421).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6311719 + ... + 6311881.

It is an arithmetic number, because the mean of its divisors is an integer number (14489400).

Almost surely, 2^1028823400 is an apocalyptic number.

1028823400 is a gapful number since it is divisible by the number (10) 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 1028823400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390982400).

1028823400 is an abundant number, since it is smaller than the sum of its proper divisors (1753141400).

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

1028823400 is a wasteful number, since it uses less digits than its factorization.

1028823400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1028823400 is about 32075.2770837603. The cubic root of 1028823400 is about 1009.5169405199.

It can be divided in two parts, 1028 and 823400, that added together give a palindrome (824428).

The spelling of 1028823400 in words is "one billion, twenty-eight million, eight hundred twenty-three thousand, four hundred".