88128040 has 256 divisors, whose sum is σ = 278691840. Its totient is φ = 24192000.

The previous prime is 88128031. The next prime is 88128041. The reversal of 88128040 is 4082188.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 88127993 and 88128011.

It is not an unprimeable number, because it can be changed into a prime (88128041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241205 + ... + 1241275.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^88128040 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 88128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

88128040 is an abundant number, since it is smaller than the sum of its proper divisors (190563800).

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

88128040 is a wasteful number, since it uses less digits than its factorization.

88128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 88128040 is about 9387.6535939499. The cubic root of 88128040 is about 445.0116396400.

The spelling of 88128040 in words is "eighty-eight million, one hundred twenty-eight thousand, forty".