50085288 has 72 divisors (see below), whose sum is σ = 149126250. Its totient is φ = 15174720.

The previous prime is 50085257. The next prime is 50085319. The reversal of 50085288 is 88258005.

It is an interprime number because it is at equal distance from previous prime (50085257) and next prime (50085319).

It can be written as a sum of positive squares in only one way, i.e., 49871844 + 213444 = 7062^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5838 + ... + 11586.

Almost surely, 2^50085288 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 50085288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74563125).

50085288 is an abundant number, since it is smaller than the sum of its proper divisors (99040962).

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

50085288 is a wasteful number, since it uses less digits than its factorization.

50085288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 50085288 is about 7077.0960146094. The cubic root of 50085288 is about 368.6124999944.

It can be divided in two parts, 5008 and 5288, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 50085288 in words is "fifty million, eighty-five thousand, two hundred eighty-eight".