1828798920 has 384 divisors, whose sum is σ = 6676356960. Its totient is φ = 431308800.

The previous prime is 1828798913. The next prime is 1828798927. The reversal of 1828798920 is 298978281.

It is an interprime number because it is at equal distance from previous prime (1828798913) and next prime (1828798927).

It can be written as a sum of positive squares in 16 ways, for example, as 528908004 + 1299890916 = 22998^2 + 36054^2 .

It is not an unprimeable number, because it can be changed into a prime (1828798927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18106870 + ... + 18106970.

Almost surely, 2^1828798920 is an apocalyptic number.

1828798920 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 1828798920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338178480).

1828798920 is an abundant number, since it is smaller than the sum of its proper divisors (4847558040).

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

1828798920 is a wasteful number, since it uses less digits than its factorization.

1828798920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1828798920 is about 42764.4586075867. The cubic root of 1828798920 is about 1222.8935438663.

The spelling of 1828798920 in words is "one billion, eight hundred twenty-eight million, seven hundred ninety-eight thousand, nine hundred twenty".