1028074400 has 72 divisors (see below), whose sum is σ = 2541712320. Its totient is φ = 405999360.

The previous prime is 1028074387. The next prime is 1028074417. The reversal of 1028074400 is 44708201.

1028074400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1028074400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55067 + ... + 71333.

It is an arithmetic number, because the mean of its divisors is an integer number (35301560).

Almost surely, 2^1028074400 is an apocalyptic number.

1028074400 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 1028074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270856160).

1028074400 is an abundant number, since it is smaller than the sum of its proper divisors (1513637920).

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

1028074400 is a wasteful number, since it uses less digits than its factorization.

1028074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 1028074400 is about 32063.5992988934. The cubic root of 1028074400 is about 1009.2718995168.

The spelling of 1028074400 in words is "one billion, twenty-eight million, seventy-four thousand, four hundred".