27869952 has 72 divisors (see below), whose sum is σ = 80942400. Its totient is φ = 8442880.

The previous prime is 27869927. The next prime is 27869971. The reversal of 27869952 is 25996872.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6799 + ... + 10097.

It is an arithmetic number, because the mean of its divisors is an integer number (1124200).

Almost surely, 2^27869952 is an apocalyptic number.

27869952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40471200).

27869952 is an abundant number, since it is smaller than the sum of its proper divisors (53072448).

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

27869952 is a wasteful number, since it uses less digits than its factorization.

27869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3315 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 27869952 is about 5279.1999393848. The cubic root of 27869952 is about 303.1880456529.

Subtracting from 27869952 its reverse (25996872), we obtain a triangular number (1873080 = T₁₉₃₅).

The spelling of 27869952 in words is "twenty-seven million, eight hundred sixty-nine thousand, nine hundred fifty-two".