1532276928 has 672 divisors, whose sum is σ = 5964521472. Its totient is φ = 364953600.

The previous prime is 1532276903. The next prime is 1532276953. The reversal of 1532276928 is 8296722351.

1532276928 is a `hidden beast` number, since 1 + 532 + 27 + 6 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1532276903) and next prime (1532276953).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1532276928² = 4695745168162234368, which contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37372588 + ... + 37372628.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^1532276928 is an apocalyptic number.

1532276928 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 1532276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982260736).

1532276928 is an abundant number, since it is smaller than the sum of its proper divisors (4432244544).

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

1532276928 is a wasteful number, since it uses less digits than its factorization.

1532276928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

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

The square root of 1532276928 is about 39144.3090116558. The cubic root of 1532276928 is about 1152.8666799862.

It can be divided in two parts, 153 and 2276928, that added together give a square (2277081 = 1509²).

The spelling of 1532276928 in words is "one billion, five hundred thirty-two million, two hundred seventy-six thousand, nine hundred twenty-eight".