1829201928 has 64 divisors (see below), whose sum is σ = 4613656320. Its totient is φ = 604339200.

The previous prime is 1829201917. The next prime is 1829201939. The reversal of 1829201928 is 8291029281.

It is an interprime number because it is at equal distance from previous prime (1829201917) and next prime (1829201939).

It is a self number, because there is not a number n which added to its sum of digits gives 1829201928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871776 + ... + 1872752.

It is an arithmetic number, because the mean of its divisors is an integer number (72088380).

Almost surely, 2^1829201928 is an apocalyptic number.

It is an amenable number.

1829201928 is an abundant number, since it is smaller than the sum of its proper divisors (2784454392).

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

1829201928 is a wasteful number, since it uses less digits than its factorization.

1829201928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1829201928 is about 42769.1702982417. The cubic root of 1829201928 is about 1222.9833659673.

The spelling of 1829201928 in words is "one billion, eight hundred twenty-nine million, two hundred one thousand, nine hundred twenty-eight".