1530028800 has 324 divisors, whose sum is σ = 5545363824. Its totient is φ = 402432000.

The previous prime is 1530028763. The next prime is 1530028807. The reversal of 1530028800 is 88200351.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1530028807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5817469 + ... + 5817731.

Almost surely, 2^1530028800 is an apocalyptic number.

1530028800 is a gapful number since it is divisible by the number (10) 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 1530028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772681912).

1530028800 is an abundant number, since it is smaller than the sum of its proper divisors (4015335024).

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

1530028800 is a wasteful number, since it uses less digits than its factorization.

1530028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1530028800 is about 39115.5825726781. The cubic root of 1530028800 is about 1152.3025825542.

It can be divided in two parts, 15300 and 28800, that added together give a square (44100 = 210²).

The spelling of 1530028800 in words is "one billion, five hundred thirty million, twenty-eight thousand, eight hundred".