368653428 has 144 divisors (see below), whose sum is σ = 1152715200. Its totient is φ = 97666560.

The previous prime is 368653403. The next prime is 368653429. The reversal of 368653428 is 824356863.

It is a happy number.

368653428 is a `hidden beast` number, since 36 + 86 + 534 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368653429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95928 + ... + 99696.

Almost surely, 2^368653428 is an apocalyptic number.

368653428 is a gapful number since it is divisible by the number (38) 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 368653428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576357600).

368653428 is an abundant number, since it is smaller than the sum of its proper divisors (784061772).

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

368653428 is a wasteful number, since it uses less digits than its factorization.

368653428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3817 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 368653428 is about 19200.3496843156. The cubic root of 368653428 is about 717.0334654058.

It can be divided in two parts, 368 and 653428, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 368653428 in words is "three hundred sixty-eight million, six hundred fifty-three thousand, four hundred twenty-eight".