1002725928 has 48 divisors (see below), whose sum is σ = 2721150900. Its totient is φ = 333573120.

The previous prime is 1002725923. The next prime is 1002725929. The reversal of 1002725928 is 8295272001.

It can be written as a sum of positive squares in 2 ways, for example, as 953697924 + 49028004 = 30882^2 + 7002^2 .

It is a super-2 number, since 2×1002725928² = 2010918573366922368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002725892 and 1002725901.

It is not an unprimeable number, because it can be changed into a prime (1002725923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22968 + ... + 50328.

Almost surely, 2^1002725928 is an apocalyptic number.

1002725928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1002725928 is an abundant number, since it is smaller than the sum of its proper divisors (1718424972).

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

1002725928 is a wasteful number, since it uses less digits than its factorization.

1002725928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27882 (or 27875 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1002725928 is about 31665.8479753819. The cubic root of 1002725928 is about 1000.9078182832.

Adding to 1002725928 its reverse (8295272001), we get a palindrome (9297997929).

The spelling of 1002725928 in words is "one billion, two million, seven hundred twenty-five thousand, nine hundred twenty-eight".