28820630431008 has 384 divisors, whose sum is σ = 97422792042240. Its totient is φ = 8209418895360.

The previous prime is 28820630431003. The next prime is 28820630431031. The reversal of 28820630431008 is 80013403602882.

28820630431008 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 0 + 630 + 4 + 3 + 1 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (28820630431001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10410391 + ... + 12884777.

It is an arithmetic number, because the mean of its divisors is an integer number (253705187610).

Almost surely, 2^{28820630431008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28820630431008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48711396021120).

28820630431008 is an abundant number, since it is smaller than the sum of its proper divisors (68602161611232).

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

28820630431008 is a wasteful number, since it uses less digits than its factorization.

28820630431008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474497 (or 2474483 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28820630431008 in words is "twenty-eight trillion, eight hundred twenty billion, six hundred thirty million, four hundred thirty-one thousand, eight".