10277952 has 56 divisors (see below), whose sum is σ = 27432000. Its totient is φ = 3396096.

The previous prime is 10277947. The next prime is 10277959. The reversal of 10277952 is 25977201.

It is not an unprimeable number, because it can be changed into a prime (10277959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38074 + ... + 38342.

Almost surely, 2^10277952 is an apocalyptic number.

10277952 is a gapful number since it is divisible by the number (12) 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 10277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716000).

10277952 is an abundant number, since it is smaller than the sum of its proper divisors (17154048).

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

10277952 is a wasteful number, since it uses less digits than its factorization.

10277952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 10277952 is about 3205.9245156429. The cubic root of 10277952 is about 217.4213535181.

It can be divided in two parts, 102779 and 52, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 10277952 in words is "ten million, two hundred seventy-seven thousand, nine hundred fifty-two".