1301282928 has 160 divisors (see below), whose sum is σ = 4174732800. Its totient is φ = 384652800.

The previous prime is 1301282921. The next prime is 1301282951. The reversal of 1301282928 is 8292821031.

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 = 1301282892 and 1301282901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301282921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191493 + ... + 198171.

It is an arithmetic number, because the mean of its divisors is an integer number (26092080).

Almost surely, 2^1301282928 is an apocalyptic number.

1301282928 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 1301282928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087366400).

1301282928 is an abundant number, since it is smaller than the sum of its proper divisors (2873449872).

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

1301282928 is a wasteful number, since it uses less digits than its factorization.

1301282928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1301282928 is about 36073.2993777947. The cubic root of 1301282928 is about 1091.7517851493.

The spelling of 1301282928 in words is "one billion, three hundred one million, two hundred eighty-two thousand, nine hundred twenty-eight".