1828720152 has 160 divisors (see below), whose sum is σ = 5875372800. Its totient is φ = 520572096.

The previous prime is 1828720139. The next prime is 1828720199. The reversal of 1828720152 is 2510278281.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1627863 + ... + 1628985.

It is an arithmetic number, because the mean of its divisors is an integer number (36721080).

Almost surely, 2^1828720152 is an apocalyptic number.

1828720152 is a gapful number since it is divisible by the number (12) 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 1828720152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937686400).

1828720152 is an abundant number, since it is smaller than the sum of its proper divisors (4046652648).

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

1828720152 is a wasteful number, since it uses less digits than its factorization.

1828720152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1828720152 is about 42763.5376459900. The cubic root of 1828720152 is about 1222.8759865758.

The spelling of 1828720152 in words is "one billion, eight hundred twenty-eight million, seven hundred twenty thousand, one hundred fifty-two".