1828275840 has 256 divisors, whose sum is σ = 6685977600. Its totient is φ = 471674880.

The previous prime is 1828275821. The next prime is 1828275877. The reversal of 1828275840 is 485728281.

It is a happy number.

It is a super-3 number, since 3×1828275840³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 533974 + ... + 537386.

It is an arithmetic number, because the mean of its divisors is an integer number (26117100).

Almost surely, 2^1828275840 is an apocalyptic number.

1828275840 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 1828275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342988800).

1828275840 is an abundant number, since it is smaller than the sum of its proper divisors (4857701760).

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

1828275840 is a wasteful number, since it uses less digits than its factorization.

1828275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1828275840 is about 42758.3423439216. The cubic root of 1828275840 is about 1222.7769405327.

The spelling of 1828275840 in words is "one billion, eight hundred twenty-eight million, two hundred seventy-five thousand, eight hundred forty".