268028843940 has 1536 divisors, whose sum is σ = 1092472012800. Its totient is φ = 53561088000.

The previous prime is 268028843917. The next prime is 268028843963. The reversal of 268028843940 is 49348820862.

It is an interprime number because it is at equal distance from previous prime (268028843917) and next prime (268028843963).

It is a super-2 number, since 2×268028843940² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3229263139 + ... + 3229263221.

It is an arithmetic number, because the mean of its divisors is an integer number (711244800).

Almost surely, 2^268028843940 is an apocalyptic number.

268028843940 is a gapful number since it is divisible by the number (20) 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 268028843940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546236006400).

268028843940 is an abundant number, since it is smaller than the sum of its proper divisors (824443168860).

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

268028843940 is a wasteful number, since it uses less digits than its factorization.

268028843940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 268028843940 in words is "two hundred sixty-eight billion, twenty-eight million, eight hundred forty-three thousand, nine hundred forty".