1864253328 has 80 divisors (see below), whose sum is σ = 5525658240. Its totient is φ = 530546688.

The previous prime is 1864253311. The next prime is 1864253401. The reversal of 1864253328 is 8233524681.

It is a Cunningham number, because it is equal to 43177²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1864253328.

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, 75558 + ... + 97146.

It is an arithmetic number, because the mean of its divisors is an integer number (69070728).

Almost surely, 2^1864253328 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 1864253328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762829120).

1864253328 is an abundant number, since it is smaller than the sum of its proper divisors (3661404912).

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

1864253328 is a wasteful number, since it uses less digits than its factorization.

1864253328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21864 (or 21858 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 1864253328 is about 43176.9999884198. Note that the first 4 decimals coincide. The cubic root of 1864253328 is about 1230.7456487485.

The spelling of 1864253328 in words is "one billion, eight hundred sixty-four million, two hundred fifty-three thousand, three hundred twenty-eight".