28615127694048 has 384 divisors, whose sum is σ = 96650705571840. Its totient is φ = 8168184239616.

The previous prime is 28615127693951. The next prime is 28615127694067. The reversal of 28615127694048 is 84049672151682.

It is a happy number.

28615127694048 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 512 + 76 + 9 + 4 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540319986 + ... + 540372942.

It is an arithmetic number, because the mean of its divisors is an integer number (251694545760).

Almost surely, 2^{28615127694048} is an apocalyptic number.

28615127694048 is a gapful number since it is divisible by the number (28) 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 28615127694048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48325352785920).

28615127694048 is an abundant number, since it is smaller than the sum of its proper divisors (68035577877792).

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

28615127694048 is an equidigital number, since it uses as much as digits as its factorization.

28615127694048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54098 (or 54072 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 28615127694048 in words is "twenty-eight trillion, six hundred fifteen billion, one hundred twenty-seven million, six hundred ninety-four thousand, forty-eight".