1826972728 has 64 divisors (see below), whose sum is σ = 4169568960. Its totient is φ = 732604416.

The previous prime is 1826972713. The next prime is 1826972729. The reversal of 1826972728 is 8272796281.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826972729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159150 + ... + 170242.

It is an arithmetic number, because the mean of its divisors is an integer number (65149515).

Almost surely, 2^1826972728 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 1826972728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084784480).

1826972728 is an abundant number, since it is smaller than the sum of its proper divisors (2342596232).

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

1826972728 is a wasteful number, since it uses less digits than its factorization.

1826972728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11292 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 52.

The square root of 1826972728 is about 42743.1015252754. The cubic root of 1826972728 is about 1222.4863581908.

The spelling of 1826972728 in words is "one billion, eight hundred twenty-six million, nine hundred seventy-two thousand, seven hundred twenty-eight".