1828810368 has 384 divisors, whose sum is σ = 6702134400. Its totient is φ = 464855040.

The previous prime is 1828810349. The next prime is 1828810427. The reversal of 1828810368 is 8630188281.

1828810368 is a `hidden beast` number, since 1 + 8 + 288 + 1 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4701118 + ... + 4701506.

It is an arithmetic number, because the mean of its divisors is an integer number (17453475).

Almost surely, 2^1828810368 is an apocalyptic number.

1828810368 is a gapful number since it is divisible by the number (18) 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 1828810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351067200).

1828810368 is an abundant number, since it is smaller than the sum of its proper divisors (4873324032).

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

1828810368 is a wasteful number, since it uses less digits than its factorization.

1828810368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1828810368 is about 42764.5924568445. The cubic root of 1828810368 is about 1222.8960955695.

The spelling of 1828810368 in words is "one billion, eight hundred twenty-eight million, eight hundred ten thousand, three hundred sixty-eight".