302401268028 has 480 divisors, whose sum is σ = 936458107200. Its totient is φ = 84401823744.

The previous prime is 302401268021. The next prime is 302401268041. The reversal of 302401268028 is 820862104203.

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 = 302401267983 and 302401268001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302401268021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112290250 + ... + 112292942.

It is an arithmetic number, because the mean of its divisors is an integer number (1950954390).

Almost surely, 2^302401268028 is an apocalyptic number.

302401268028 is a gapful number since it is divisible by the number (38) 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 302401268028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468229053600).

302401268028 is an abundant number, since it is smaller than the sum of its proper divisors (634056839172).

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

302401268028 is a wasteful number, since it uses less digits than its factorization.

302401268028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 302401268028 in words is "three hundred two billion, four hundred one million, two hundred sixty-eight thousand, twenty-eight".