34528992 has 48 divisors (see below), whose sum is σ = 93097872. Its totient is φ = 11197440.

The previous prime is 34528981. The next prime is 34528997. The reversal of 34528992 is 29982543.

34528992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34528997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309 + ... + 8412.

It is an arithmetic number, because the mean of its divisors is an integer number (1939539).

Almost surely, 2^34528992 is an apocalyptic number.

34528992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34528992 is an abundant number, since it is smaller than the sum of its proper divisors (58568880).

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

34528992 is a wasteful number, since it uses less digits than its factorization.

34528992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771 (or 9763 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 34528992 is about 5876.1375069003. The cubic root of 34528992 is about 325.6326674096.

The spelling of 34528992 in words is "thirty-four million, five hundred twenty-eight thousand, nine hundred ninety-two".