862273152 has 288 divisors, whose sum is σ = 2776007520. Its totient is φ = 256628736.

The previous prime is 862273039. The next prime is 862273189. The reversal of 862273152 is 251372268.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×862273152³ (a number of 28 digits) contains 333 as substring.

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

Its product of digits (40320) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8371533 + ... + 8371635.

It is an arithmetic number, because the mean of its divisors is an integer number (9638915).

Almost surely, 2^862273152 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 862273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388003760).

862273152 is an abundant number, since it is smaller than the sum of its proper divisors (1913734368).

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

862273152 is a wasteful number, since it uses less digits than its factorization.

862273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 862273152 is about 29364.4879403677. The cubic root of 862273152 is about 951.8056708543.

The spelling of 862273152 in words is "eight hundred sixty-two million, two hundred seventy-three thousand, one hundred fifty-two".