6828010400 has 72 divisors (see below), whose sum is σ = 17206648704. Its totient is φ = 2643091200.

The previous prime is 6828010393. The next prime is 6828010433. The reversal of 6828010400 is 40108286.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112862 + ... + 162461.

It is an arithmetic number, because the mean of its divisors is an integer number (238981232).

Almost surely, 2^6828010400 is an apocalyptic number.

It is an amenable number.

6828010400 is an abundant number, since it is smaller than the sum of its proper divisors (10378638304).

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

6828010400 is a wasteful number, since it uses less digits than its factorization.

6828010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275374 (or 275361 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 6828010400 is about 82631.7759702646. The cubic root of 6828010400 is about 1897.1342207941.

Adding to 6828010400 its reverse (40108286), we get a palindrome (6868118686).

The spelling of 6828010400 in words is "six billion, eight hundred twenty-eight million, ten thousand, four hundred".