313828020 has 180 divisors, whose sum is σ = 1082801412. Its totient is φ = 76032000.

The previous prime is 313828019. The next prime is 313828033. The reversal of 313828020 is 20828313.

It can be written as a sum of positive squares in 2 ways, for example, as 244672164 + 69155856 = 15642^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×313828020⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 195220 + ... + 196820.

Almost surely, 2^313828020 is an apocalyptic number.

313828020 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 313828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541400706).

313828020 is an abundant number, since it is smaller than the sum of its proper divisors (768973392).

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

313828020 is a wasteful number, since it uses less digits than its factorization.

313828020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 313828020 is about 17715.1917855834. The cubic root of 313828020 is about 679.5643258840.

The spelling of 313828020 in words is "three hundred thirteen million, eight hundred twenty-eight thousand, twenty".