1827217152 has 324 divisors, whose sum is σ = 5832341424. Its totient is φ = 548782080.

The previous prime is 1827217141. The next prime is 1827217153. The reversal of 1827217152 is 2517127281.

It is a super-2 number, since 2×1827217152² = 6677445041125982208, which contains 22 as substring.

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

Its product of digits (15680) is a multiple of the sum of its prime divisors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827217153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44566252 + ... + 44566292.

Almost surely, 2^1827217152 is an apocalyptic number.

1827217152 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 1827217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916170712).

1827217152 is an abundant number, since it is smaller than the sum of its proper divisors (4005124272).

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

1827217152 is a wasteful number, since it uses less digits than its factorization.

1827217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 98 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 1827217152 is about 42745.9606512709. The cubic root of 1827217152 is about 1222.5408730861.

The spelling of 1827217152 in words is "one billion, eight hundred twenty-seven million, two hundred seventeen thousand, one hundred fifty-two".