31428520704 has 432 divisors, whose sum is σ = 111117726720. Its totient is φ = 8338636800.

The previous prime is 31428520699. The next prime is 31428520727. The reversal of 31428520704 is 40702582413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21659179 + ... + 21660629.

It is an arithmetic number, because the mean of its divisors is an integer number (257216960).

Almost surely, 2^31428520704 is an apocalyptic number.

31428520704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31428520704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558863360).

31428520704 is an abundant number, since it is smaller than the sum of its proper divisors (79689206016).

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

31428520704 is a wasteful number, since it uses less digits than its factorization.

31428520704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 31428520704 in words is "thirty-one billion, four hundred twenty-eight million, five hundred twenty thousand, seven hundred four".