4528742400 has 1008 divisors, whose sum is σ = 20704966464. Its totient is φ = 955514880.

The previous prime is 4528742377. The next prime is 4528742417. The reversal of 4528742400 is 42478254.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348364794 + ... + 348364806.

Almost surely, 2^4528742400 is an apocalyptic number.

4528742400 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 4528742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352483232).

4528742400 is an abundant number, since it is smaller than the sum of its proper divisors (16176224064).

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

4528742400 is an equidigital number, since it uses as much as digits as its factorization.

4528742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4528742400 is about 67295.9315263560. The cubic root of 4528742400 is about 1654.4711788169.

The spelling of 4528742400 in words is "four billion, five hundred twenty-eight million, seven hundred forty-two thousand, four hundred".