95749248 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 27067392.

The previous prime is 95749201. The next prime is 95749259. The reversal of 95749248 is 84294759.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 95749197 and 95749206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481053 + ... + 481251.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^95749248 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 95749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

95749248 is an abundant number, since it is smaller than the sum of its proper divisors (198010752).

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

95749248 is a wasteful number, since it uses less digits than its factorization.

95749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 95749248 is about 9785.1544699100. The cubic root of 95749248 is about 457.4866835982.

It can be divided in two parts, 957 and 49248, that added together give a palindrome (50205).

The spelling of 95749248 in words is "ninety-five million, seven hundred forty-nine thousand, two hundred forty-eight".