4028794433280 has 1728 divisors, whose sum is σ = 16149170838528. Its totient is φ = 956470394880.

The previous prime is 4028794433239. The next prime is 4028794433299. The reversal of 4028794433280 is 823344978204.

4028794433280 is a `hidden beast` number, since 4 + 0 + 28 + 79 + 443 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19093812375 + ... + 19093812585.

It is an arithmetic number, because the mean of its divisors is an integer number (9345584976).

Almost surely, 2^{4028794433280} is an apocalyptic number.

4028794433280 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 4028794433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074585419264).

4028794433280 is an abundant number, since it is smaller than the sum of its proper divisors (12120376405248).

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

4028794433280 is a wasteful number, since it uses less digits than its factorization.

4028794433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4028794433280 in words is "four trillion, twenty-eight billion, seven hundred ninety-four million, four hundred thirty-three thousand, two hundred eighty".