88826416273728 has 336 divisors, whose sum is σ = 299249318492800. Its totient is φ = 24659339784192.

The previous prime is 88826416273697. The next prime is 88826416273753. The reversal of 88826416273728 is 82737261462888.

It is a happy number.

88826416273728 is a `hidden beast` number, since 8 + 88 + 264 + 16 + 273 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×88826416273728² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 108945723 + ... + 109758021.

Almost surely, 2^{88826416273728} 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 88826416273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149624659246400).

88826416273728 is an abundant number, since it is smaller than the sum of its proper divisors (210422902219072).

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

88826416273728 is a wasteful number, since it uses less digits than its factorization.

88826416273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813094 (or 813081 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 88826416273728 in words is "eighty-eight trillion, eight hundred twenty-six billion, four hundred sixteen million, two hundred seventy-three thousand, seven hundred twenty-eight".