88445952 has 176 divisors, whose sum is σ = 300008320. Its totient is φ = 25214976.

The previous prime is 88445939. The next prime is 88445957. The reversal of 88445952 is 25954488.

It is a junction number, because it is equal to n+sod(n) for n = 88445898 and 88445907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88445957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193308 + ... + 193764.

Almost surely, 2^88445952 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 88445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150004160).

88445952 is an abundant number, since it is smaller than the sum of its proper divisors (211562368).

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

88445952 is a wasteful number, since it uses less digits than its factorization.

88445952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 88445952 is about 9404.5708036040. The cubic root of 88445952 is about 445.5461073027.

It can be divided in two parts, 88 and 445952, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 88445952 in words is "eighty-eight million, four hundred forty-five thousand, nine hundred fifty-two".