737928 has 48 divisors (see below), whose sum is σ = 2059980. Its totient is φ = 238464.

The previous prime is 737927. The next prime is 737929. The reversal of 737928 is 829737.

737928 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (737927) and next prime (737929).

It can be written as a sum of positive squares in 2 ways, for example, as 736164 + 1764 = 858^2 + 42^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 737892 and 737901.

It is not an unprimeable number, because it can be changed into a prime (737921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2526 + ... + 2802.

2⁷³⁷⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 737928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029990).

737928 is an abundant number, since it is smaller than the sum of its proper divisors (1322052).

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

737928 is a wasteful number, since it uses less digits than its factorization.

737928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 737928 is about 859.0273569567. The cubic root of 737928 is about 90.3659176608.

Subtracting 737928 from its reverse (829737), we obtain a square (91809 = 303²).

It can be divided in two parts, 73 and 7928, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 737928 in words is "seven hundred thirty-seven thousand, nine hundred twenty-eight".