1828811520 has 360 divisors, whose sum is σ = 6766784640. Its totient is φ = 471121920.

The previous prime is 1828811477. The next prime is 1828811563. The reversal of 1828811520 is 251188281.

It is an interprime number because it is at equal distance from previous prime (1828811477) and next prime (1828811563).

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3213796 + ... + 3214364.

It is an arithmetic number, because the mean of its divisors is an integer number (18796624).

Almost surely, 2^1828811520 is an apocalyptic number.

1828811520 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 1828811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383392320).

1828811520 is an abundant number, since it is smaller than the sum of its proper divisors (4937973120).

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

1828811520 is an equidigital number, since it uses as much as digits as its factorization.

1828811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1828811520 is about 42764.6059259290. The cubic root of 1828811520 is about 1222.8963523441.

The spelling of 1828811520 in words is "one billion, eight hundred twenty-eight million, eight hundred eleven thousand, five hundred twenty".