31628713248 has 192 divisors, whose sum is σ = 106557171840. Its totient is φ = 9020620800.

The previous prime is 31628713247. The next prime is 31628713267. The reversal of 31628713248 is 84231782613.

31628713248 is a `hidden beast` number, since 3 + 1 + 628 + 7 + 13 + 2 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (31628713247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63688 + ... + 259448.

It is an arithmetic number, because the mean of its divisors is an integer number (554985270).

Almost surely, 2^31628713248 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 31628713248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53278585920).

31628713248 is an abundant number, since it is smaller than the sum of its proper divisors (74928458592).

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

31628713248 is a wasteful number, since it uses less digits than its factorization.

31628713248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195808 (or 195794 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 31628713248 in words is "thirty-one billion, six hundred twenty-eight million, seven hundred thirteen thousand, two hundred forty-eight".