298933632 has 128 divisors (see below), whose sum is σ = 896131200. Its totient is φ = 98081280.

The previous prime is 298933577. The next prime is 298933637. The reversal of 298933632 is 236339892.

298933632 is a `hidden beast` number, since 2 + 9 + 8 + 9 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×298933632² = 178722632681422848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298933637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230907 + ... + 232197.

It is an arithmetic number, because the mean of its divisors is an integer number (7001025).

Almost surely, 2^298933632 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 298933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448065600).

298933632 is an abundant number, since it is smaller than the sum of its proper divisors (597197568).

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

298933632 is a wasteful number, since it uses less digits than its factorization.

298933632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1363 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 298933632 is about 17289.6972790156. The cubic root of 298933632 is about 668.6388285577.

The spelling of 298933632 in words is "two hundred ninety-eight million, nine hundred thirty-three thousand, six hundred thirty-two".