1828416240 has 400 divisors, whose sum is σ = 7330834368. Its totient is φ = 413724672.

The previous prime is 1828416229. The next prime is 1828416259. The reversal of 1828416240 is 426148281.

1828416240 is a `hidden beast` number, since 1 + 8 + 28 + 4 + 1 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1828416195 and 1828416204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7847164 + ... + 7847396.

Almost surely, 2^1828416240 is an apocalyptic number.

1828416240 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 1828416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665417184).

1828416240 is an abundant number, since it is smaller than the sum of its proper divisors (5502418128).

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

1828416240 is a wasteful number, since it uses less digits than its factorization.

1828416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1828416240 is about 42759.9840972842. The cubic root of 1828416240 is about 1222.8082402385.

The spelling of 1828416240 in words is "one billion, eight hundred twenty-eight million, four hundred sixteen thousand, two hundred forty".