1828290240 has 336 divisors, whose sum is σ = 7501298688. Its totient is φ = 399624192.

The previous prime is 1828290229. The next prime is 1828290281. The reversal of 1828290240 is 420928281.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1828290240³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1828290195 and 1828290204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461709 + ... + 465651.

Almost surely, 2^1828290240 is an apocalyptic number.

1828290240 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 1828290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750649344).

1828290240 is an abundant number, since it is smaller than the sum of its proper divisors (5673008448).

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

1828290240 is a wasteful number, since it uses less digits than its factorization.

1828290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1828290240 is about 42758.5107317830. The cubic root of 1828290240 is about 1222.7801508327.

The spelling of 1828290240 in words is "one billion, eight hundred twenty-eight million, two hundred ninety thousand, two hundred forty".