84761928 has 48 divisors (see below), whose sum is σ = 231133500. Its totient is φ = 28060800.

The previous prime is 84761917. The next prime is 84761939. The reversal of 84761928 is 82916748.

84761928 is a `hidden beast` number, since 8 + 4 + 7 + 619 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (84761917) and next prime (84761939).

It can be written as a sum of positive squares in 2 ways, for example, as 83503044 + 1258884 = 9138^2 + 1122^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6778 + ... + 14678.

Almost surely, 2^84761928 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 84761928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115566750).

84761928 is an abundant number, since it is smaller than the sum of its proper divisors (146371572).

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

84761928 is a wasteful number, since it uses less digits than its factorization.

84761928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 8055 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 84761928 is about 9206.6241370005. The cubic root of 84761928 is about 439.2720884587.

It can be divided in two parts, 8476 and 1928, that added together give a square (10404 = 102²).

The spelling of 84761928 in words is "eighty-four million, seven hundred sixty-one thousand, nine hundred twenty-eight".