88529280 has 192 divisors, whose sum is σ = 328607280. Its totient is φ = 20213760.

The previous prime is 88529269. The next prime is 88529297. The reversal of 88529280 is 8292588.

It is a Cunningham number, because it is equal to 97⁴-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93610 + ... + 94550.

Almost surely, 2^88529280 is an apocalyptic number.

88529280 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 88529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164303640).

88529280 is an abundant number, since it is smaller than the sum of its proper divisors (240078000).

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

88529280 is a wasteful number, since it uses less digits than its factorization.

88529280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 88529280 is about 9408.9999468594. Note that the first 4 decimals coincide. The cubic root of 88529280 is about 445.6859848660.

The spelling of 88529280 in words is "eighty-eight million, five hundred twenty-nine thousand, two hundred eighty".