31228003872 has 378 divisors, whose sum is σ = 100948189167. Its totient is φ = 9500654592.

The previous prime is 31228003847. The next prime is 31228003883. The reversal of 31228003872 is 27830082213.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 123743376 + 31104260496 = 11124^2 + 176364^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124956.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 350876404 + ... + 350876492.

Almost surely, 2^31228003872 is an apocalyptic number.

31228003872 is a gapful number since it is divisible by the number (32) 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 31228003872

31228003872 is an abundant number, since it is smaller than the sum of its proper divisors (69720185295).

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

31228003872 is an frugal number, since it uses more digits than its factorization.

31228003872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 107 counting only the distinct ones).

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

The spelling of 31228003872 in words is "thirty-one billion, two hundred twenty-eight million, three thousand, eight hundred seventy-two".