1528620072 has 288 divisors, whose sum is σ = 4920285600. Its totient is φ = 393216768.

The previous prime is 1528620019. The next prime is 1528620077. The reversal of 1528620072 is 2700268251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528620077) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35549283 + ... + 35549325.

It is an arithmetic number, because the mean of its divisors is an integer number (17084325).

Almost surely, 2^1528620072 is an apocalyptic number.

1528620072 is a gapful number since it is divisible by the number (12) 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 1528620072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460142800).

1528620072 is an abundant number, since it is smaller than the sum of its proper divisors (3391665528).

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

1528620072 is a wasteful number, since it uses less digits than its factorization.

1528620072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1528620072 is about 39097.5711777599. The cubic root of 1528620072 is about 1151.9488246460.

The spelling of 1528620072 in words is "one billion, five hundred twenty-eight million, six hundred twenty thousand, seventy-two".