1828659264 has 112 divisors (see below), whose sum is σ = 5299862400. Its totient is φ = 553885696.

The previous prime is 1828659233. The next prime is 1828659277. The reversal of 1828659264 is 4629568281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 84997 + ... + 104315.

It is an arithmetic number, because the mean of its divisors is an integer number (47320200).

Almost surely, 2^1828659264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649931200).

1828659264 is an abundant number, since it is smaller than the sum of its proper divisors (3471203136).

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

1828659264 is a wasteful number, since it uses less digits than its factorization.

1828659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19380 (or 19370 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 1828659264 is about 42762.8257251553. The cubic root of 1828659264 is about 1222.8624143699.

The spelling of 1828659264 in words is "one billion, eight hundred twenty-eight million, six hundred fifty-nine thousand, two hundred sixty-four".