126820728 has 96 divisors (see below), whose sum is σ = 360687600. Its totient is φ = 41741568.

The previous prime is 126820693. The next prime is 126820739. The reversal of 126820728 is 827028621.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 126820692 and 126820701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172650 + ... + 173382.

Almost surely, 2^126820728 is an apocalyptic number.

126820728 is a gapful number since it is divisible by the number (18) 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 126820728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180343800).

126820728 is an abundant number, since it is smaller than the sum of its proper divisors (233866872).

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

126820728 is an equidigital number, since it uses as much as digits as its factorization.

126820728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126820728 is about 11261.4709518784. The cubic root of 126820728 is about 502.4159449515.

The spelling of 126820728 in words is "one hundred twenty-six million, eight hundred twenty thousand, seven hundred twenty-eight".