6928921800 has 72 divisors (see below), whose sum is σ = 23269635090. Its totient is φ = 1847712000.

The previous prime is 6928921789. The next prime is 6928921807. The reversal of 6928921800 is 81298296.

It can be written as a sum of positive squares in 3 ways, for example, as 3966732324 + 2962189476 = 62982^2 + 54426^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6928921807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1922901 + ... + 1926500.

Almost surely, 2^6928921800 is an apocalyptic number.

6928921800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6928921800 is an abundant number, since it is smaller than the sum of its proper divisors (16340713290).

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

6928921800 is a wasteful number, since it uses less digits than its factorization.

6928921800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849423 (or 3849411 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6928921800 is about 83240.1453626794. The cubic root of 6928921800 is about 1906.4344910753.

The spelling of 6928921800 in words is "six billion, nine hundred twenty-eight million, nine hundred twenty-one thousand, eight hundred".