287619948 has 288 divisors, whose sum is σ = 984023040. Its totient is φ = 68584320.

The previous prime is 287619947. The next prime is 287619949. The reversal of 287619948 is 849916782.

It is an interprime number because it is at equal distance from previous prime (287619947) and next prime (287619949).

It is a junction number, because it is equal to n+sod(n) for n = 287619894 and 287619903.

It is not an unprimeable number, because it can be changed into a prime (287619947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2264661 + ... + 2264787.

Almost surely, 2^287619948 is an apocalyptic number.

287619948 is a gapful number since it is divisible by the number (28) 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 287619948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492011520).

287619948 is an abundant number, since it is smaller than the sum of its proper divisors (696403092).

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

287619948 is a wasteful number, since it uses less digits than its factorization.

287619948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 287619948 is about 16959.3616625155. The cubic root of 287619948 is about 660.0948348575.

The spelling of 287619948 in words is "two hundred eighty-seven million, six hundred nineteen thousand, nine hundred forty-eight".