4028567840 has 96 divisors (see below), whose sum is σ = 10403334144. Its totient is φ = 1462026240.

The previous prime is 4028567833. The next prime is 4028567863. The reversal of 4028567840 is 487658204.

It is a Cunningham number, because it is equal to 63471²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4028567791 and 4028567800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013537 + ... + 1017503.

It is an arithmetic number, because the mean of its divisors is an integer number (108368064).

Almost surely, 2^4028567840 is an apocalyptic number.

4028567840 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 4028567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201667072).

4028567840 is an abundant number, since it is smaller than the sum of its proper divisors (6374766304).

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

4028567840 is a wasteful number, since it uses less digits than its factorization.

4028567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 4028567840 is about 63470.9999921224. Note that the first 5 decimals coincide. The cubic root of 4028567840 is about 1591.1711424894.

The spelling of 4028567840 in words is "four billion, twenty-eight million, five hundred sixty-seven thousand, eight hundred forty".