1002828282900 has 72 divisors (see below), whose sum is σ = 2930244473184. Its totient is φ = 264773136000.

The previous prime is 1002828282899. The next prime is 1002828283063. The reversal of 1002828282900 is 92828282001.

It is a super-3 number, since 3×1002828282900³ (a number of 37 digits) contains 333 as substring.

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, 16518022 + ... + 16578621.

Almost surely, 2^{1002828282900} is an apocalyptic number.

1002828282900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002828282900 is an abundant number, since it is smaller than the sum of its proper divisors (1927416190284).

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

1002828282900 is a wasteful number, since it uses less digits than its factorization.

1002828282900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33096761 (or 33096754 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 1002828282900 in words is "one trillion, two billion, eight hundred twenty-eight million, two hundred eighty-two thousand, nine hundred".