1828191101 has 16 divisors (see below), whose sum is σ = 2156647680. Its totient is φ = 1530938880.

The previous prime is 1828191091. The next prime is 1828191137. The reversal of 1828191101 is 1011918281.

It is a cyclic number.

It is not a de Polignac number, because 1828191101 - 2²⁶ = 1761082237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828191181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95216 + ... + 112793.

It is an arithmetic number, because the mean of its divisors is an integer number (134790480).

Almost surely, 2^1828191101 is an apocalyptic number.

1828191101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1828191101 is a deficient number, since it is larger than the sum of its proper divisors (328456579).

1828191101 is a wasteful number, since it uses less digits than its factorization.

1828191101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208084.

The product of its (nonzero) digits is 1152, while the sum is 32.

The square root of 1828191101 is about 42757.3514263922. The cubic root of 1828191101 is about 1222.7580486905.

The spelling of 1828191101 in words is "one billion, eight hundred twenty-eight million, one hundred ninety-one thousand, one hundred one".