1310257728 has 448 divisors, whose sum is σ = 4547128320. Its totient is φ = 366280704.

The previous prime is 1310257723. The next prime is 1310257757. The reversal of 1310257728 is 8277520131.

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 = 1310257692 and 1310257701.

It is not an unprimeable number, because it can be changed into a prime (1310257723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17948700 + ... + 17948772.

It is an arithmetic number, because the mean of its divisors is an integer number (10149840).

Almost surely, 2^1310257728 is an apocalyptic number.

1310257728 is a gapful number since it is divisible by the number (18) 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 1310257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273564160).

1310257728 is an abundant number, since it is smaller than the sum of its proper divisors (3236870592).

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

1310257728 is a wasteful number, since it uses less digits than its factorization.

1310257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1310257728 is about 36197.4823433896. The cubic root of 1310257728 is about 1094.2559328671.

Adding to 1310257728 its reverse (8277520131), we get a palindrome (9587777859).

The spelling of 1310257728 in words is "one billion, three hundred ten million, two hundred fifty-seven thousand, seven hundred twenty-eight".