365428992 has 72 divisors (see below), whose sum is σ = 1004012800. Its totient is φ = 117872640.

The previous prime is 365428981. The next prime is 365428993. The reversal of 365428992 is 299824563.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (365428993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16134 + ... + 31482.

Almost surely, 2^365428992 is an apocalyptic number.

365428992 is a gapful number since it is divisible by the number (32) 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 365428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502006400).

365428992 is an abundant number, since it is smaller than the sum of its proper divisors (638583808).

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

365428992 is a wasteful number, since it uses less digits than its factorization.

365428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399 (or 15385 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 365428992 is about 19116.1971113504. The cubic root of 365428992 is about 714.9368239289.

The spelling of 365428992 in words is "three hundred sixty-five million, four hundred twenty-eight thousand, nine hundred ninety-two".