1828280400 has 60 divisors (see below), whose sum is σ = 5856595392. Its totient is φ = 487541120.

The previous prime is 1828280387. The next prime is 1828280411. The reversal of 1828280400 is 40828281.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1828280400³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760584 + ... + 762983.

Almost surely, 2^1828280400 is an apocalyptic number.

1828280400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828280400 is an abundant number, since it is smaller than the sum of its proper divisors (4028314992).

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

1828280400 is a wasteful number, since it uses less digits than its factorization.

1828280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523588 (or 1523577 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 1828280400 is about 42758.3956668161. The cubic root of 1828280400 is about 1222.7779571295. Note that the first 3 decimals are identical.

The spelling of 1828280400 in words is "one billion, eight hundred twenty-eight million, two hundred eighty thousand, four hundred".