1828463040 has 168 divisors, whose sum is σ = 6459504480. Its totient is φ = 474384384.

The previous prime is 1828463011. The next prime is 1828463083. The reversal of 1828463040 is 403648281.

1828463040 is a `hidden beast` number, since 18 + 2 + 8 + 4 + 630 + 4 + 0 = 666.

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 = 1828462986 and 1828463004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97981 + ... + 115139.

Almost surely, 2^1828463040 is an apocalyptic number.

1828463040 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 1828463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229752240).

1828463040 is an abundant number, since it is smaller than the sum of its proper divisors (4631041440).

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

1828463040 is a wasteful number, since it uses less digits than its factorization.

1828463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17219 (or 17206 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1828463040 is about 42760.5313343976. The cubic root of 1828463040 is about 1222.8186731178.

The spelling of 1828463040 in words is "one billion, eight hundred twenty-eight million, four hundred sixty-three thousand, forty".