6451101828 has 36 divisors (see below), whose sum is σ = 16353179388. Its totient is φ = 2144271360.

The previous prime is 6451101821. The next prime is 6451101857. The reversal of 6451101828 is 8281011546.

6451101828 is a `hidden beast` number, since 64 + 511 + 0 + 1 + 82 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3655653444 + 2795448384 = 60462^2 + 52872^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 6451101792 and 6451101801.

It is not an unprimeable number, because it can be changed into a prime (6451101821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241113 + ... + 266528.

It is an arithmetic number, because the mean of its divisors is an integer number (454254983).

Almost surely, 2^6451101828 is an apocalyptic number.

It is an amenable number.

6451101828 is an abundant number, since it is smaller than the sum of its proper divisors (9902077560).

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

6451101828 is a wasteful number, since it uses less digits than its factorization.

6451101828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508004 (or 507999 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 6451101828 is about 80318.7514096179. The cubic root of 6451101828 is about 1861.5639741983.

The spelling of 6451101828 in words is "six billion, four hundred fifty-one million, one hundred one thousand, eight hundred twenty-eight".