1828290920 has 32 divisors (see below), whose sum is σ = 4156072200. Its totient is φ = 723775488.

The previous prime is 1828290881. The next prime is 1828290923. The reversal of 1828290920 is 290928281.

1828290920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1045746244 + 782544676 = 32338^2 + 27974^2 .

It is a super-3 number, since 3×1828290920³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1828290923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231725 + ... + 239484.

Almost surely, 2^1828290920 is an apocalyptic number.

1828290920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828290920 is an abundant number, since it is smaller than the sum of its proper divisors (2327781280).

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

1828290920 is a wasteful number, since it uses less digits than its factorization.

1828290920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471317 (or 471313 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 1828290920 is about 42758.5186834156. The cubic root of 1828290920 is about 1222.7803024298.

The spelling of 1828290920 in words is "one billion, eight hundred twenty-eight million, two hundred ninety thousand, nine hundred twenty".