1028012820900 has 432 divisors, whose sum is σ = 3342891041280. Its totient is φ = 243545702400.

The previous prime is 1028012820827. The next prime is 1028012820911. The reversal of 1028012820900 is 90282108201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303336406 + ... + 303339794.

Almost surely, 2^{1028012820900} is an apocalyptic number.

1028012820900 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 1028012820900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671445520640).

1028012820900 is an abundant number, since it is smaller than the sum of its proper divisors (2314878220380).

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

1028012820900 is a wasteful number, since it uses less digits than its factorization.

1028012820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 1028012820900 in words is "one trillion, twenty-eight billion, twelve million, eight hundred twenty thousand, nine hundred".