10162828800 has 360 divisors, whose sum is σ = 37163576736. Its totient is φ = 2651013120.

The previous prime is 10162828799. The next prime is 10162828801. The reversal of 10162828800 is 882826101.

10162828800 is a `hidden beast` number, since 1 + 0 + 1 + 628 + 28 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10162828799) and next prime (10162828801).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162828801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5413462 + ... + 5415338.

Almost surely, 2^10162828800 is an apocalyptic number.

10162828800 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 10162828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18581788368).

10162828800 is an abundant number, since it is smaller than the sum of its proper divisors (27000747936).

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

10162828800 is a wasteful number, since it uses less digits than its factorization.

10162828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10162828800 in words is "ten billion, one hundred sixty-two million, eight hundred twenty-eight thousand, eight hundred".