29827900400 has 30 divisors (see below), whose sum is σ = 71661531672. Its totient is φ = 11931160000.

The previous prime is 29827900373. The next prime is 29827900433. The reversal of 29827900400 is 400972892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37284476 + ... + 37285275.

Almost surely, 2^29827900400 is an apocalyptic number.

29827900400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29827900400 is an abundant number, since it is smaller than the sum of its proper divisors (41833631272).

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

29827900400 is a wasteful number, since it uses less digits than its factorization.

29827900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74569769 (or 74569758 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 29827900400 in words is "twenty-nine billion, eight hundred twenty-seven million, nine hundred thousand, four hundred".