88049052 has 288 divisors, whose sum is σ = 308080640. Its totient is φ = 21150720.

The previous prime is 88049051. The next prime is 88049057. The reversal of 88049052 is 25094088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88048998 and 88049016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88049051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2840277 + ... + 2840307.

Almost surely, 2^88049052 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 88049052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154040320).

88049052 is an abundant number, since it is smaller than the sum of its proper divisors (220031588).

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

88049052 is a wasteful number, since it uses less digits than its factorization.

88049052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 88049052 is about 9383.4456357993. The cubic root of 88049052 is about 444.8786472111.

The spelling of 88049052 in words is "eighty-eight million, forty-nine thousand, fifty-two".