491012928 has 210 divisors, whose sum is σ = 1694027346. Its totient is φ = 140216832.

The previous prime is 491012923. The next prime is 491012941. The reversal of 491012928 is 829210194.

It can be written as a sum of positive squares in only one way, i.e., 448084224 + 42928704 = 21168^2 + 6552^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 491012892 and 491012901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491012923) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253050 + ... + 254982.

Almost surely, 2^491012928 is an apocalyptic number.

491012928 is a gapful number since it is divisible by the number (48) 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 491012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847013673).

491012928 is an abundant number, since it is smaller than the sum of its proper divisors (1203014418).

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

491012928 is a wasteful number, since it uses less digits than its factorization.

491012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 491012928 is about 22158.8115204765. The cubic root of 491012928 is about 788.9163843209.

The spelling of 491012928 in words is "four hundred ninety-one million, twelve thousand, nine hundred twenty-eight".