1028828315700 has 432 divisors, whose sum is σ = 3454229915136. Its totient is φ = 255507436800.

The previous prime is 1028828315687. The next prime is 1028828315707. The reversal of 1028828315700 is 75138288201.

1028828315700 is a `hidden beast` number, since 1 + 0 + 28 + 8 + 28 + 31 + 570 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028828315707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 308863035 + ... + 308866365.

Almost surely, 2^{1028828315700} is an apocalyptic number.

1028828315700 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 1028828315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727114957568).

1028828315700 is an abundant number, since it is smaller than the sum of its proper divisors (2425401599436).

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

1028828315700 is a wasteful number, since it uses less digits than its factorization.

1028828315700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1028828315700 in words is "one trillion, twenty-eight billion, eight hundred twenty-eight million, three hundred fifteen thousand, seven hundred".