126828400 has 30 divisors (see below), whose sum is σ = 304706192. Its totient is φ = 50731200.

The previous prime is 126828391. The next prime is 126828407. The reversal of 126828400 is 4828621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126828407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 158136 + ... + 158935.

Almost surely, 2^126828400 is an apocalyptic number.

126828400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126828400 is an abundant number, since it is smaller than the sum of its proper divisors (177877792).

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

126828400 is a wasteful number, since it uses less digits than its factorization.

126828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317089 (or 317078 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 126828400 is about 11261.8115771842. The cubic root of 126828400 is about 502.4260759384.

The spelling of 126828400 in words is "one hundred twenty-six million, eight hundred twenty-eight thousand, four hundred".