1828454400 has 342 divisors, whose sum is σ = 6761205152. Its totient is φ = 471859200.

The previous prime is 1828454389. The next prime is 1828454461. The reversal of 1828454400 is 44548281.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58982385 + ... + 58982415.

Almost surely, 2^1828454400 is an apocalyptic number.

1828454400 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 1828454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380602576).

1828454400 is an abundant number, since it is smaller than the sum of its proper divisors (4932750752).

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

1828454400 is an frugal number, since it uses more digits than its factorization.

1828454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1828454400 is about 42760.4303065346. The cubic root of 1828454400 is about 1222.8167470612.

The spelling of 1828454400 in words is "one billion, eight hundred twenty-eight million, four hundred fifty-four thousand, four hundred".