126928800 has 324 divisors, whose sum is σ = 483254226. Its totient is φ = 31334400.

The previous prime is 126928777. The next prime is 126928801. The reversal of 126928800 is 8829621.

It can be written as a sum of positive squares in 9 ways, for example, as 7420176 + 119508624 = 2724^2 + 10932^2 .

It is a super-2 number, since 2×126928800² = 32221840538880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126928801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2080770 + ... + 2080830.

Almost surely, 2^126928800 is an apocalyptic number.

126928800 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 126928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241627113).

126928800 is an abundant number, since it is smaller than the sum of its proper divisors (356325426).

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

126928800 is a wasteful number, since it uses less digits than its factorization.

126928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 126928800 is about 11266.2682375310. The cubic root of 126928800 is about 502.5586179483.

The spelling of 126928800 in words is "one hundred twenty-six million, nine hundred twenty-eight thousand, eight hundred".