1001000028400 has 30 divisors (see below), whose sum is σ = 2404902569192. Its totient is φ = 400400011200.

The previous prime is 1001000028397. The next prime is 1001000028401. The reversal of 1001000028400 is 48200001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000028401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1251249636 + ... + 1251250435.

Almost surely, 2^{1001000028400} is an apocalyptic number.

1001000028400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001000028400 is an abundant number, since it is smaller than the sum of its proper divisors (1403902540792).

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

1001000028400 is a wasteful number, since it uses less digits than its factorization.

1001000028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502500089 (or 2502500078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1001000028400 its reverse (48200001001), we get a palindrome (1049200029401).

The spelling of 1001000028400 in words is "one trillion, one billion, twenty-eight thousand, four hundred".