1628286710400 has 3072 divisors, whose sum is σ = 7693221888000. Its totient is φ = 327741603840.

The previous prime is 1628286710399. The next prime is 1628286710461. The reversal of 1628286710400 is 40176828261.

1628286710400 is a `hidden beast` number, since 1 + 628 + 2 + 8 + 6 + 7 + 10 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×1628286710400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12821155137 + ... + 12821155263.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304000).

Almost surely, 2^{1628286710400} is an apocalyptic number.

1628286710400 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 1628286710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846610944000).

1628286710400 is an abundant number, since it is smaller than the sum of its proper divisors (6064935177600).

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

1628286710400 is a wasteful number, since it uses less digits than its factorization.

1628286710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1628286710400 in words is "one trillion, six hundred twenty-eight billion, two hundred eighty-six million, seven hundred ten thousand, four hundred".