287970382732032 has 3888 divisors, whose sum is σ = 1198582723578240. Its totient is φ = 68148515635200.

The previous prime is 287970382732031. The next prime is 287970382732051. The reversal of 287970382732032 is 230237283079782.

287970382732032 is a `hidden beast` number, since 2 + 8 + 79 + 70 + 382 + 73 + 20 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (287970382732031) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 504326414307 + ... + 504326414877.

It is an arithmetic number, because the mean of its divisors is an integer number (308277449480).

Almost surely, 2^{287970382732032} is an apocalyptic number.

287970382732032 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 287970382732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599291361789120).

287970382732032 is an abundant number, since it is smaller than the sum of its proper divisors (910612340846208).

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

287970382732032 is a wasteful number, since it uses less digits than its factorization.

287970382732032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 287970382732032 in words is "two hundred eighty-seven trillion, nine hundred seventy billion, three hundred eighty-two million, seven hundred thirty-two thousand, thirty-two".