31028730480 has 320 divisors, whose sum is σ = 123452812800. Its totient is φ = 7079546880.

The previous prime is 31028730457. The next prime is 31028730487. The reversal of 31028730480 is 8403782013.

31028730480 is a `hidden beast` number, since 3 + 102 + 8 + 73 + 0 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31028730487) 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, 365511 + ... + 442329.

It is an arithmetic number, because the mean of its divisors is an integer number (385790040).

Almost surely, 2^31028730480 is an apocalyptic number.

31028730480 is a gapful number since it is divisible by the number (30) 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 31028730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61726406400).

31028730480 is an abundant number, since it is smaller than the sum of its proper divisors (92424082320).

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

31028730480 is a wasteful number, since it uses less digits than its factorization.

31028730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76869 (or 76857 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31028730480 in words is "thirty-one billion, twenty-eight million, seven hundred thirty thousand, four hundred eighty".