1628276428800 has 2496 divisors, whose sum is σ = 7459183296000. Its totient is φ = 346816512000.

The previous prime is 1628276428787. The next prime is 1628276428913. The reversal of 1628276428800 is 88246728261.

1628276428800 is a `hidden beast` number, since 1 + 62 + 82 + 7 + 6 + 428 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16121548750 + ... + 16121548850.

Almost surely, 2^{1628276428800} is an apocalyptic number.

1628276428800 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 1628276428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729591648000).

1628276428800 is an abundant number, since it is smaller than the sum of its proper divisors (5830906867200).

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

1628276428800 is a wasteful number, since it uses less digits than its factorization.

1628276428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1628276428800 in words is "one trillion, six hundred twenty-eight billion, two hundred seventy-six million, four hundred twenty-eight thousand, eight hundred".