1829226672 has 640 divisors, whose sum is σ = 7110656000. Its totient is φ = 436700160.

The previous prime is 1829226629. The next prime is 1829226677. The reversal of 1829226672 is 2766229281.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1829226677) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23154729 + ... + 23154807.

It is an arithmetic number, because the mean of its divisors is an integer number (11110400).

Almost surely, 2^1829226672 is an apocalyptic number.

1829226672 is a gapful number since it is divisible by the number (12) 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 1829226672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555328000).

1829226672 is an abundant number, since it is smaller than the sum of its proper divisors (5281429328).

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

1829226672 is a wasteful number, since it uses less digits than its factorization.

1829226672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1829226672 is about 42769.4595710537. The cubic root of 1829226672 is about 1222.9888804604.

The spelling of 1829226672 in words is "one billion, eight hundred twenty-nine million, two hundred twenty-six thousand, six hundred seventy-two".