5828401681920 has 800 divisors, whose sum is σ = 22384323561600. Its totient is φ = 1444228890624.

The previous prime is 5828401681919. The next prime is 5828401681943. The reversal of 5828401681920 is 291861048285.

5828401681920 is a `hidden beast` number, since 58 + 28 + 401 + 6 + 81 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 278474016 + ... + 278494944.

It is an arithmetic number, because the mean of its divisors is an integer number (27980404452).

Almost surely, 2^{5828401681920} 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 5828401681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192161780800).

5828401681920 is an abundant number, since it is smaller than the sum of its proper divisors (16555921879680).

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

5828401681920 is a wasteful number, since it uses less digits than its factorization.

5828401681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21060 (or 21035 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 5828401681920 in words is "five trillion, eight hundred twenty-eight billion, four hundred one million, six hundred eighty-one thousand, nine hundred twenty".