312628848 has 80 divisors (see below), whose sum is σ = 926607360. Its totient is φ = 88973568.

The previous prime is 312628837. The next prime is 312628859. The reversal of 312628848 is 848826213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312628837) and next prime (312628859).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91393 + ... + 94751.

It is an arithmetic number, because the mean of its divisors is an integer number (11582592).

Almost surely, 2^312628848 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 312628848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463303680).

312628848 is an abundant number, since it is smaller than the sum of its proper divisors (613978512).

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

312628848 is a wasteful number, since it uses less digits than its factorization.

312628848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3648 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 312628848 is about 17681.3135258668. The cubic root of 312628848 is about 678.6976572750.

The spelling of 312628848 in words is "three hundred twelve million, six hundred twenty-eight thousand, eight hundred forty-eight".