28627570319040 has 3024 divisors, whose sum is σ = 130268131209216. Its totient is φ = 5745719992320.

The previous prime is 28627570319017. The next prime is 28627570319063. The reversal of 28627570319040 is 4091307572682.

It is a happy number.

28627570319040 is a `hidden beast` number, since 2 + 8 + 6 + 27 + 570 + 3 + 1 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (28627570319017) and next prime (28627570319063).

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 431 ways as a sum of consecutive naturals, for example, 93249414567 + ... + 93249414873.

It is a 1-persistent number, because it is pandigital, but 2⋅28627570319040 = 57255140638080 is not.

Almost surely, 2^{28627570319040} is an apocalyptic number.

28627570319040 is a gapful number since it is divisible by the number (20) 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 28627570319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65134065604608).

28627570319040 is an abundant number, since it is smaller than the sum of its proper divisors (101640560890176).

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

28627570319040 is a wasteful number, since it uses less digits than its factorization.

28627570319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 505 counting only the distinct ones).

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

The spelling of 28627570319040 in words is "twenty-eight trillion, six hundred twenty-seven billion, five hundred seventy million, three hundred nineteen thousand, forty".