8028537073920 has 576 divisors, whose sum is σ = 31181861652480. Its totient is φ = 1939944038400.

The previous prime is 8028537073901. The next prime is 8028537073927. The reversal of 8028537073920 is 293707358208.

8028537073920 is a `hidden beast` number, since 80 + 2 + 8 + 537 + 0 + 7 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (8028537073927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 116674725 + ... + 116743515.

It is an arithmetic number, because the mean of its divisors is an integer number (54135176480).

Almost surely, 2^{8028537073920} is an apocalyptic number.

8028537073920 is a gapful number since it is divisible by the number (80) 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 8028537073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590930826240).

8028537073920 is an abundant number, since it is smaller than the sum of its proper divisors (23153324578560).

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

8028537073920 is a wasteful number, since it uses less digits than its factorization.

8028537073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69139 (or 69119 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 8028537073920 in words is "eight trillion, twenty-eight billion, five hundred thirty-seven million, seventy-three thousand, nine hundred twenty".