1527828480 has 312 divisors, whose sum is σ = 5509856352. Its totient is φ = 406093824.

The previous prime is 1527828451. The next prime is 1527828487. The reversal of 1527828480 is 848287251.

It is a happy number.

1527828480 is a `hidden beast` number, since 1 + 527 + 82 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×1527828480² = 4668519728598220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1527828487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976487 + ... + 4976793.

It is an arithmetic number, because the mean of its divisors is an integer number (17659796).

Almost surely, 2^1527828480 is an apocalyptic number.

1527828480 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 1527828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754928176).

1527828480 is an abundant number, since it is smaller than the sum of its proper divisors (3982027872).

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

1527828480 is an frugal number, since it uses more digits than its factorization.

1527828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1527828480 is about 39087.4465781535. The cubic root of 1527828480 is about 1151.7499457269.

The spelling of 1527828480 in words is "one billion, five hundred twenty-seven million, eight hundred twenty-eight thousand, four hundred eighty".