1828425984 has 288 divisors, whose sum is σ = 6200678400. Its totient is φ = 474163200.

The previous prime is 1828425967. The next prime is 1828426021. The reversal of 1828425984 is 4895248281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897349 + ... + 2897979.

Almost surely, 2^1828425984 is an apocalyptic number.

1828425984 is a gapful number since it is divisible by the number (14) 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 1828425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100339200).

1828425984 is an abundant number, since it is smaller than the sum of its proper divisors (4372252416).

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

1828425984 is an equidigital number, since it uses as much as digits as its factorization.

1828425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 654 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 1828425984 is about 42760.0980354349. The cubic root of 1828425984 is about 1222.8104124322.

The spelling of 1828425984 in words is "one billion, eight hundred twenty-eight million, four hundred twenty-five thousand, nine hundred eighty-four".