10287000976 has 160 divisors (see below), whose sum is σ = 25401231360. Its totient is φ = 3934199808.

The previous prime is 10287000973. The next prime is 10287001001. The reversal of 10287000976 is 67900078201.

It is not an unprimeable number, because it can be changed into a prime (10287000973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3277680 + ... + 3280816.

It is an arithmetic number, because the mean of its divisors is an integer number (158757696).

Almost surely, 2^10287000976 is an apocalyptic number.

10287000976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10287000976 is the 58558-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10287000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700615680).

10287000976 is an abundant number, since it is smaller than the sum of its proper divisors (15114230384).

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

10287000976 is a wasteful number, since it uses less digits than its factorization.

10287000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 10287000976 in words is "ten billion, two hundred eighty-seven million, nine hundred seventy-six", and thus it is an aban number.