1542268728 has 384 divisors, whose sum is σ = 5860512000. Its totient is φ = 369411840.

The previous prime is 1542268727. The next prime is 1542268757. The reversal of 1542268728 is 8278622451.

1542268728 is a `hidden beast` number, since 1 + 542 + 2 + 6 + 87 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542268723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1513003 + ... + 1514021.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^1542268728 is an apocalyptic number.

1542268728 is a gapful number since it is divisible by the number (18) 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 1542268728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

1542268728 is an abundant number, since it is smaller than the sum of its proper divisors (4318243272).

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

1542268728 is a wasteful number, since it uses less digits than its factorization.

1542268728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1055 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 1542268728 is about 39271.7293736856. The cubic root of 1542268728 is about 1155.3671560019.

The spelling of 1542268728 in words is "one billion, five hundred forty-two million, two hundred sixty-eight thousand, seven hundred twenty-eight".