1652732928 has 528 divisors, whose sum is σ = 6345765504. Its totient is φ = 401080320.

The previous prime is 1652732927. The next prime is 1652732929. The reversal of 1652732928 is 8292372561.

1652732928 is a `hidden beast` number, since 1 + 6 + 527 + 32 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1652732927) and next prime (1652732929).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1652732928² = 5463052262590906368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1652732927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12063676 + ... + 12063812.

Almost surely, 2^1652732928 is an apocalyptic number.

1652732928 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 1652732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172882752).

1652732928 is an abundant number, since it is smaller than the sum of its proper divisors (4693032576).

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

1652732928 is a wasteful number, since it uses less digits than its factorization.

1652732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1652732928 is about 40653.8181232710. The cubic root of 1652732928 is about 1182.3177961397.

It can be divided in two parts, 16527 and 32928, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 1652732928 in words is "one billion, six hundred fifty-two million, seven hundred thirty-two thousand, nine hundred twenty-eight".