1828049664 has 216 divisors, whose sum is σ = 5845905408. Its totient is φ = 505128960.

The previous prime is 1828049611. The next prime is 1828049677. The reversal of 1828049664 is 4669408281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165809 + ... + 1167375.

Almost surely, 2^1828049664 is an apocalyptic number.

1828049664 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 1828049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922952704).

1828049664 is an abundant number, since it is smaller than the sum of its proper divisors (4017855744).

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

1828049664 is a wasteful number, since it uses less digits than its factorization.

1828049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 1828049664 is about 42755.6974449020. The cubic root of 1828049664 is about 1222.7265152091.

The spelling of 1828049664 in words is "one billion, eight hundred twenty-eight million, forty-nine thousand, six hundred sixty-four".