1828153824 has 192 divisors, whose sum is σ = 5714214912. Its totient is φ = 500774400.

The previous prime is 1828153813. The next prime is 1828153841. The reversal of 1828153824 is 4283518281.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645319 + ... + 2646009.

It is an arithmetic number, because the mean of its divisors is an integer number (29761536).

Almost surely, 2^1828153824 is an apocalyptic number.

1828153824 is a gapful number since it is divisible by the number (14) 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 1828153824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857107456).

1828153824 is an abundant number, since it is smaller than the sum of its proper divisors (3886061088).

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

1828153824 is a wasteful number, since it uses less digits than its factorization.

1828153824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 1828153824 is about 42756.9155108270. The cubic root of 1828153824 is about 1222.7497379142.

The spelling of 1828153824 in words is "one billion, eight hundred twenty-eight million, one hundred fifty-three thousand, eight hundred twenty-four".