27961752 has 192 divisors, whose sum is σ = 91929600. Its totient is φ = 7015680.

The previous prime is 27961741. The next prime is 27961763. The reversal of 27961752 is 25716972.

It is an interprime number because it is at equal distance from previous prime (27961741) and next prime (27961763).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (52920) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 27961752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473899 + ... + 473957.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^27961752 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 27961752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

27961752 is an abundant number, since it is smaller than the sum of its proper divisors (63967848).

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

27961752 is a wasteful number, since it uses less digits than its factorization.

27961752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 27961752 is about 5287.8872907807. The cubic root of 27961752 is about 303.5205681648.

The spelling of 27961752 in words is "twenty-seven million, nine hundred sixty-one thousand, seven hundred fifty-two".