1826828640 has 480 divisors, whose sum is σ = 7940116800. Its totient is φ = 385191936.

The previous prime is 1826828621. The next prime is 1826828681. The reversal of 1826828640 is 468286281.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178586 + ... + 1180134.

It is an arithmetic number, because the mean of its divisors is an integer number (16541910).

Almost surely, 2^1826828640 is an apocalyptic number.

1826828640 is a gapful number since it is divisible by the number (10) 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 1826828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970058400).

1826828640 is an abundant number, since it is smaller than the sum of its proper divisors (6113288160).

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

1826828640 is a wasteful number, since it uses less digits than its factorization.

1826828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1826828640 is about 42741.4159802878. The cubic root of 1826828640 is about 1222.4542193703.

The spelling of 1826828640 in words is "one billion, eight hundred twenty-six million, eight hundred twenty-eight thousand, six hundred forty".