4028128370280 has 896 divisors, whose sum is σ = 15939150796800. Its totient is φ = 896589098496.

The previous prime is 4028128370269. The next prime is 4028128370291. The reversal of 4028128370280 is 820738218204.

4028128370280 is a `hidden beast` number, since 4 + 0 + 28 + 1 + 283 + 70 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (4028128370269) and next prime (4028128370291).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4801106101 + ... + 4801106939.

It is an arithmetic number, because the mean of its divisors is an integer number (17789230800).

Almost surely, 2^{4028128370280} is an apocalyptic number.

4028128370280 is a gapful number since it is divisible by the number (40) 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 4028128370280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969575398400).

4028128370280 is an abundant number, since it is smaller than the sum of its proper divisors (11911022426520).

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

4028128370280 is a wasteful number, since it uses less digits than its factorization.

4028128370280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 4028128370280 in words is "four trillion, twenty-eight billion, one hundred twenty-eight million, three hundred seventy thousand, two hundred eighty".