1828461600 has 720 divisors, whose sum is σ = 7940116800. Its totient is φ = 400619520.

The previous prime is 1828461581. The next prime is 1828461601. The reversal of 1828461600 is 61648281.

1828461600 = 165³ + 166³ + ... + 299³.

1828461600 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 46 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1828461601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13154331 + ... + 13154469.

It is an arithmetic number, because the mean of its divisors is an integer number (11027940).

Almost surely, 2^1828461600 is an apocalyptic number.

1828461600 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 1828461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970058400).

1828461600 is an abundant number, since it is smaller than the sum of its proper divisors (6111655200).

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

1828461600 is a wasteful number, since it uses less digits than its factorization.

1828461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1828461600 is about 42760.5144964370. The cubic root of 1828461600 is about 1222.8183521088.

The spelling of 1828461600 in words is "one billion, eight hundred twenty-eight million, four hundred sixty-one thousand, six hundred".