8028057240 has 384 divisors, whose sum is σ = 31691088000. Its totient is φ = 1723244544.

The previous prime is 8028057221. The next prime is 8028057283. The reversal of 8028057240 is 427508208.

It is a happy number.

8028057240 is a `hidden beast` number, since 8 + 0 + 2 + 80 + 572 + 4 + 0 = 666.

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 = 8028057195 and 8028057204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2702476 + ... + 2705444.

It is an arithmetic number, because the mean of its divisors is an integer number (82528875).

Almost surely, 2^8028057240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8028057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845544000).

8028057240 is an abundant number, since it is smaller than the sum of its proper divisors (23663030760).

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

8028057240 is a wasteful number, since it uses less digits than its factorization.

8028057240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8028057240 is about 89599.4265606650. The cubic root of 8028057240 is about 2002.3353752831.

The spelling of 8028057240 in words is "eight billion, twenty-eight million, fifty-seven thousand, two hundred forty".