10736428200 has 192 divisors, whose sum is σ = 35317114560. Its totient is φ = 2688798720.

The previous prime is 10736428189. The next prime is 10736428237. The reversal of 10736428200 is 282463701.

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 47 ways as a sum of consecutive naturals, for example, 6557782 + ... + 6559418.

It is an arithmetic number, because the mean of its divisors is an integer number (183943305).

Almost surely, 2^10736428200 is an apocalyptic number.

10736428200 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 10736428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658557280).

10736428200 is an abundant number, since it is smaller than the sum of its proper divisors (24580686360).

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

10736428200 is a wasteful number, since it uses less digits than its factorization.

10736428200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 10736428200 in words is "ten billion, seven hundred thirty-six million, four hundred twenty-eight thousand, two hundred".