1828605100 has 144 divisors (see below), whose sum is σ = 4705254400. Its totient is φ = 603832320.

The previous prime is 1828605067. The next prime is 1828605127. The reversal of 1828605100 is 15068281.

It is a super-2 number, since 2×1828605100² = 6687593223492020000, which contains 22 as substring.

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, 2377516 + ... + 2378284.

Almost surely, 2^1828605100 is an apocalyptic number.

1828605100 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 1828605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352627200).

1828605100 is an abundant number, since it is smaller than the sum of its proper divisors (2876649300).

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

1828605100 is a wasteful number, since it uses less digits than its factorization.

1828605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 1828605100 is about 42762.1924133925. The cubic root of 1828605100 is about 1222.8503407202.

The spelling of 1828605100 in words is "one billion, eight hundred twenty-eight million, six hundred five thousand, one hundred".