4528923840 has 560 divisors, whose sum is σ = 18661684800. Its totient is φ = 1021206528.

The previous prime is 4528923821. The next prime is 4528923853. The reversal of 4528923840 is 483298254.

4528923840 is a `hidden beast` number, since 4 + 528 + 92 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×4528923840² = 41022302297040691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19776846 + ... + 19777074.

Almost surely, 2^4528923840 is an apocalyptic number.

4528923840 is a gapful number since it is divisible by the number (40) 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 4528923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330842400).

4528923840 is an abundant number, since it is smaller than the sum of its proper divisors (14132760960).

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

4528923840 is a wasteful number, since it uses less digits than its factorization.

4528923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4528923840 is about 67297.2795884054. The cubic root of 4528923840 is about 1654.4932734895.

The spelling of 4528923840 in words is "four billion, five hundred twenty-eight million, nine hundred twenty-three thousand, eight hundred forty".